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0707.3930
\c{S}ebnem G. S\"oyler
\c{S}. G. S\"oyler, B. Capogrosso-Sansone, N. V. Prokof'ev, B. V. Svistunov
Superfluid-Insulator and Roughening Transitions in Domain Walls
6 pages, 7 figures; references added, typo corrected in fig 5
Physical Review A, vol. 76, 043628 (2007)
10.1103/PhysRevA.76.043628
null
cond-mat.other cond-mat.stat-mech
null
We have performed quantum Monte Carlo simulations to investigate the superfluid behavior of one- and two-dimensional interfaces separating checkerboard solid domains. The system is described by the hard-core Bose-Hubbard Hamiltonian with nearest-neighbor interaction. In accordance with Ref.1, we find that (i) the interface remains superfluid in a wide range of interaction strength before it undergoes a superfluid-insulator transition; (ii) in one dimension, the transition is of the Kosterlitz-Thouless type and is accompanied by the roughening transition, driven by proliferation of charge 1/2 quasiparticles; (iii) in two dimensions, the transition belongs to the 3D U(1) universality class and the interface remains smooth. Similar phenomena are expected for domain walls in quantum antiferromagnets.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:28:03 GMT" }, { "version": "v2", "created": "Tue, 27 Nov 2007 05:28:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Söyler", "Ş. G.", "" ], [ "Capogrosso-Sansone", "B.", "" ], [ "Prokof'ev", "N. V.", "" ], [ "Svistunov", "B. V.", "" ] ]
0707.3931
Oleg Vyaselev
A. V. Palnichenko, O. M. Vyaselev, N. S. Sidorov
Influence of Rb, Cs and Ba on Superconductivity of Magnesium Diboride
3 pages (twocolumn), 2 figures
null
10.1134/S0021364007160126
null
cond-mat.supr-con
null
Magnesium diboride has been thermally treated in the presence of Rb, Cs, and Ba. Magnetic susceptibility shows onsets of superconductivity in the resulting samples at 52K (Rb), 58K (Cs) and 45K (Ba). Room-temperature 11B NMR indicates to cubic symmetry of the electric field gradient at boron site for the samples reacted with Rb and Cs, in contrast to the axial symmetry in the initial MgB2 and in the sample treated with Ba.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:28:10 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 16:46:59 GMT" }, { "version": "v3", "created": "Sat, 28 Jul 2007 08:02:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Palnichenko", "A. V.", "" ], [ "Vyaselev", "O. M.", "" ], [ "Sidorov", "N. S.", "" ] ]
0707.3932
Andreas Wagner
A. Wagner, R. Beyer, M. Erhard, E. Grosse, A. R. Junghans, J. Klug, K. Kosev, C. Nair, N. Nankov, G. Rusev, K. D. Schilling, R. Schwengner
Photon strength distributions in stable even-even molybdenum isotopes
Proceedings Nuclear Physics in Astrophysics 3, March 2007, Dresden Journal of Physics G, IOP Publishing
J.Phys.G35:014035,2008
10.1088/0954-3899/35/1/014035
null
nucl-ex
null
Electromagnetic dipole-strength distributions up to the particle separation energies are studied for the stable even-even nuclides $^{92,94,96,98,100}$Mo in photon scattering experiments at the superconducting electron accelerator ELBE of the Forschungszentrum Dresden-Rossendorf. The influence of inelastic transitions to low-lying excited states has been corrected by a simulation of $\gamma$ cascades using a statistical model. After corrections for branching ratios of ground-state transitions, the photon-scattering cross-sections smoothly connect to data obtained from $(\gamma,n)$-reactions. With the newly determined electromagnetic dipole response of nuclei well below the particle separation energies the parametrisation of the isovector giant-dipole resonance is done with improved precision.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:28:20 GMT" } ]
2008-11-26T00:00:00
[ [ "Wagner", "A.", "" ], [ "Beyer", "R.", "" ], [ "Erhard", "M.", "" ], [ "Grosse", "E.", "" ], [ "Junghans", "A. R.", "" ], [ "Klug", "J.", "" ], [ "Kosev", "K.", "" ], [ "Nair", "C.", "" ], [ "Nankov", "N.", "" ], [ "Rusev", "G.", "" ], [ "Schilling", "K. D.", "" ], [ "Schwengner", "R.", "" ] ]
0707.3933
Stefano Miscetti
The KLOE Collaboration
Branching ratio measurement of $K_S\to \gamma \gamma$ decay using a pure $\ks$ beam in the KLOE detector
15 pages, 9 figures, contributed paper to LP07
null
null
null
hep-ex
null
We have analyzed 1.62 fb$^{-1}$ of $e^{+}e^{-}$ collisions at a center of mass energy $\sim M_{\phi}$ collected by the KLOE experiment at DA$\Phi$NE. This sample corresponds to a production of $\sim$ 1.7 billion of $\ks$ $\kl$ pairs which allowed us to search for the rare $K_S\to \gamma\gamma$ decay. $K_S$ are tagged by the $K_L$ interaction in the calorimeter and the signal is searched for by requiring two additional prompt photons. Strong kinematic requirements reduce the initial 0.5$\times 10^6$ events to 2300 candidates from which we extract a signal of 600 $\pm$ 35 events. By normalizing to the $\ks \to 2 \pi^0$ decays counted in the same sample, the measured value of BR($\ks \to \gamma\gamma$) is (2.27 $\pm 0.13(stat.) ^{+0.03}_{-0.04} (syst.)) \times 10^{-6}$, in agreement with $O(P^4)$ Chiral Perturbation Theory predictions.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:28:22 GMT" } ]
2012-08-27T00:00:00
[ [ "The KLOE Collaboration", "", "" ] ]
0707.3934
Simone Daflon
S. Daflon, K. Cunha, F. X. de Araujo, S. Wolff, N. Przybilla
The Projected Rotational Velocity Distribution of a Sample of OB stars from a Calibration based on Synthetic He I lines
Accepted for publication in The Astronomical Journal
Astron.J.134:1570-1578,2007
10.1086/521707
null
astro-ph
null
We derive projected rotational velocities (vsini) for a sample of 156 Galactic OB star members of 35 clusters, HII regions, and associations. The HeI lines at $\lambda\lambda$4026, 4388, and 4471A were analyzed in order to define a calibration of the synthetic HeI full-widths at half maximum versus stellar vsini. A grid of synthetic spectra of HeI line profiles was calculated in non-LTE using an extensive helium model atom and updated atomic data. The vsini's for all stars were derived using the He I FWHM calibrations but also, for those target stars with relatively sharp lines, vsini values were obtained from best fit synthetic spectra of up to 40 lines of CII, NII, OII, AlIII, MgII, SiIII, and SIII. This calibration is a useful and efficient tool for estimating the projected rotational velocities of O9-B5 main-sequence stars. The distribution of vsini for an unbiased sample of early B stars in the unbound association Cep OB2 is consistent with the distribution reported elsewhere for other unbound associations.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:29:36 GMT" } ]
2009-06-23T00:00:00
[ [ "Daflon", "S.", "" ], [ "Cunha", "K.", "" ], [ "de Araujo", "F. X.", "" ], [ "Wolff", "S.", "" ], [ "Przybilla", "N.", "" ] ]
0707.3935
Gennady Kovalev V.
Gennady V. Kovalev
A Possibility of Volume Refraction of Negative Relativistic Particles in Bent Crystals
6 pages, 2 figures, draft
null
null
null
physics.acc-ph physics.atom-ph physics.gen-ph
null
The volume coherent deflection of high-energy positive and negative particles in uniformly bent crystals is studied. The general analysis of potential scattering shows that the standard screening potential for a large class of collisions can cause the volume refraction for negative particles (antiprotons, electrons) instead of the volume reflection for positive particles (proton, positrons).
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:47:27 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 20:46:45 GMT" } ]
2007-07-27T00:00:00
[ [ "Kovalev", "Gennady V.", "" ] ]
0707.3936
Konstantin Avrachenkov
Eitan Altman (INRIA Sophia Antipolis), Konstantin Avrachenkov (INRIA Sophia Antipolis), Andrey Garnaev
Closed form solutions for symmetric water filling games
null
null
null
null
cs.NI cs.GT
null
We study power control in optimization and game frameworks. In the optimization framework there is a single decision maker who assigns network resources and in the game framework users share the network resources according to Nash equilibrium. The solution of these problems is based on so-called water-filling technique, which in turn uses bisection method for solution of non-linear equations for Lagrange multiplies. Here we provide a closed form solution to the water-filling problem, which allows us to solve it in a finite number of operations. Also, we produce a closed form solution for the Nash equilibrium in symmetric Gaussian interference game with an arbitrary number of users. Even though the game is symmetric, there is an intrinsic hierarchical structure induced by the quantity of the resources available to the users. We use this hierarchical structure to perform a successive reduction of the game. In addition, to its mathematical beauty, the explicit solution allows one to study limiting cases when the crosstalk coefficient is either small or large. We provide an alternative simple proof of the convergence of the Iterative Water Filling Algorithm. Furthermore, it turns out that the convergence of Iterative Water Filling Algorithm slows down when the crosstalk coefficient is large. Using the closed form solution, we can avoid this problem. Finally, we compare the non-cooperative approach with the cooperative approach and show that the non-cooperative approach results in a more fair resource distribution.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:30:50 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 12:40:05 GMT" } ]
2009-09-29T00:00:00
[ [ "Altman", "Eitan", "", "INRIA Sophia Antipolis" ], [ "Avrachenkov", "Konstantin", "", "INRIA\n Sophia Antipolis" ], [ "Garnaev", "Andrey", "" ] ]
0707.3937
Andrey Lazarev
Alastair Hamilton and Andrey Lazarev
Cohomology theories for homotopy algebras and noncommutative geometry
This 54 pages paper is a substantial revision of the part of math.QA/0410621 dealing with algebraic Hodge decompositions of Hochschild and cyclic cohomology theories. The main addition is the treatment of cohomology theories corresponding to unital infinity-structures
Algebr. Geom. Topol. 9 (2009) 1503-1583
10.2140/agt.2009.9.1503
null
math.QA math.AG math.KT
null
This paper builds a general framework in which to study cohomology theories of strongly homotopy algebras, namely $A_\infty, C_\infty$ and $L_\infty$-algebras. This framework is based on noncommutative geometry as expounded by Connes and Kontsevich. The developed machinery is then used to establish a general form of Hodge decomposition of Hochschild and cyclic cohomology of $C_\infty$-algebras. This generalizes and puts in a conceptual framework previous work by Loday and Gerstenhaber-Schack.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:38:53 GMT" } ]
2014-10-01T00:00:00
[ [ "Hamilton", "Alastair", "" ], [ "Lazarev", "Andrey", "" ] ]
0707.3938
Roland Doll
Roland Doll, David Zueco, Martijn Wubs, Sigmund Kohler and Peter Hanggi
On the conundrum of deriving exact solutions from approximate master equations
7 pages; revised version; to appear in Chem. Phys
Chem. Phys. 347, 243-249 (2008)
10.1016/j.chemphys.2007.09.003
null
quant-ph cond-mat.stat-mech
null
We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local master equation approach already in second order of the system-bath coupling strength. We reveal that this equivalence holds if the initial state of the bath can be mapped to a Gaussian phase-space distribution function. Moreover, we discuss the relation to the standard Bloch-Redfield approach.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:59:42 GMT" }, { "version": "v2", "created": "Wed, 5 Sep 2007 14:51:53 GMT" } ]
2008-05-13T00:00:00
[ [ "Doll", "Roland", "" ], [ "Zueco", "David", "" ], [ "Wubs", "Martijn", "" ], [ "Kohler", "Sigmund", "" ], [ "Hanggi", "Peter", "" ] ]
0707.3939
Karen O'Neil
K. O'Neil
Star Formation in Massive Low Surface Brightness Galaxies
to be published in proceeding of IAU 244 - Dark Galaxies and Lost Baryons IAU Symposium
AIP Conf.Proc.1035:112-118,2008
10.1063/1.2973561
null
astro-ph
null
Massive low surface brightness galaxies have disk central surface brightnesses at least one magnitude fainter than the night sky, but total magnitudes and masses that show they are among the largest galaxies known. Like all low surface brightness (LSB) galaxies, massive LSB galaxies are often in the midst of star formation yet their stellar light has remained diffuse, raising the question of how star formation is proceeding within these galaxies. We have undertaken a multi-wavelength study to clarify the structural parameters and stellar and gas content of these enigmatic systems. The results of these studies, which include HI, CO, optical, near UV, and far UV images of the galaxies will provide the most in depth study done to date of how, when, and where star formation proceeds within this unique subset of the galaxy population.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:55:59 GMT" } ]
2009-06-23T00:00:00
[ [ "O'Neil", "K.", "" ] ]
0707.3940
Andrea Carati
A. Carati, L. Galgani
A proposal for the missing mass: it is just the outer, far one
This paper has been withdrawn
null
null
null
astro-ph
null
The paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:10:24 GMT" }, { "version": "v2", "created": "Tue, 28 Aug 2007 12:37:41 GMT" } ]
2007-08-28T00:00:00
[ [ "Carati", "A.", "" ], [ "Galgani", "L.", "" ] ]
0707.3941
Mark Edelman
G.M Zaslavsky, M. Edelman, V.E. Tarasov
Dynamics of the Chain of Oscillators with Long-Range Interaction: From Synchronization to Chaos
22 pages, 10 figures
null
10.1063/1.2819537
null
nlin.CD nlin.PS
null
We consider a chain of nonlinear oscillators with long-range interaction of the type 1/l^{1+alpha}, where l is a distance between oscillators and 0< alpha <2. In the continues limit the system's dynamics is described by the Ginzburg-Landau equation with complex coefficients. Such a system has a new parameter alpha that is responsible for the complexity of the medium and that strongly influences possible regimes of the dynamics. We study different spatial-temporal patterns of the dynamics depending on alpha and show transitions from synchronization of the motion to broad-spectrum oscillations and to chaos.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:38:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Zaslavsky", "G. M", "" ], [ "Edelman", "M.", "" ], [ "Tarasov", "V. E.", "" ] ]
0707.3942
Barbara Betz
Barbara Betz, Philip Rau, Horst St\"ocker
Mach Cones and Hydrodynamic Flow: Probing Big Bang Matter in the Laboratory
18 pages, 12 figures, presented at the IWCF 2006, Nov. 21-24, Hangzhou, China
Int.J.Mod.Phys.E16:3082-3099,2008
10.1142/S0218301307009075
null
hep-th
null
A critical discussion of the present signals for the phase transition to quark-gluon plasma (QGP) is given. Since hadronic rescattering models predict much larger flow than observed from 1 to 50 A GeV laboratory bombarding energies, this observation is interpreted as potential evidence for a first-order phase transition at high baryon density. A detailed discussion of the collective flow as a barometer for the equation of state (EoS) of hot dense matter at RHIC follows. Here, hadronic rescattering models can explain < 30 % of the observed elliptic flow v_2 for $p_T > 2$ GeV/c. This is interpreted as an evidence for the production of superdense matter at RHIC. The connection of v_2 to jet suppression is examined. A study of Mach shocks generated by fast partonic jets propagating through the QGP is given. The main goal is to take into account different types of collective motion during the formation and evolution of this matter. A significant deformation of Mach shocks in central Au+Au collisions at RHIC and LHC energies as compared to the case of jet propagation in a static medium is predicted. A new hydrodynamical study of jet energy loss is presented.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:04:30 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 14:48:04 GMT" }, { "version": "v3", "created": "Mon, 13 Aug 2007 09:55:59 GMT" } ]
2008-11-26T00:00:00
[ [ "Betz", "Barbara", "" ], [ "Rau", "Philip", "" ], [ "Stöcker", "Horst", "" ] ]
0707.3943
J\'er\^ome Ballot
J\'er\^ome Ballot, Allan Sacha Brun, Sylvaine Turck-Chi\`eze
Simulations of turbulent convection in rotating young solar-like stars: Differential rotation and meridional circulation
32 pages, 18 figures, 2 tables, to appear in ApJ
ApJ 669, 1190 (Nov 10, 2007)
10.1086/521617
null
astro-ph
null
We present the results of three-dimensional simulations of the deep convective envelope of a young (10 Myr) one-solar-mass star, obtained with the Anelastic Spherical Harmonic code. Since young stars are known to be faster rotators than their main sequence counterparts, we have systematically studied the impact of the stellar rotation speed, by considering stars spinning up to five times as fast as the Sun. The aim of these nonlinear models is to understand the complex interactions between convection and rotation. We discuss the influence of the turbulence level and of the rotation rate on the intensity and the topology of the mean flows. For all of the computed models, we find a solar-type superficial differential rotation, with an equatorial acceleration, and meridional circulation that exhibits a multicellular structure. Even if the differential rotation contrast decreases only marginally for high rotation rates, the meridional circulation intensity clearly weakens according to our simulations. We have also shown that, for Taylor numbers above a certain threshold (Ta>10^9), the convection can develop a vacillating behavior. Since simulations with high turbulence levels and rotation rates exhibit strongly cylindrical internal rotation profiles, we have considered the influence of baroclinic effects at the base of the convective envelope of these young Suns, to see whether such effect can modify the otherwise near cylindrical profiles to produce more conical, solar-like profiles.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:06:32 GMT" } ]
2008-04-03T00:00:00
[ [ "Ballot", "Jérôme", "" ], [ "Brun", "Allan Sacha", "" ], [ "Turck-Chièze", "Sylvaine", "" ] ]
0707.3944
Anastasios Avgoustidis
A. Avgoustidis, Joaquim Gomis
Non-Relativistic Strings in Expanding Spacetime
35 pages, 3 figures. Minor corrections, accepted by CQG
Class.Quant.Grav.25:125017,2008
10.1088/0264-9381/25/12/125017
UB-ECM-PF-07-19
astro-ph gr-qc hep-th
null
We obtain a non-relativistic diffeomorphism invariant string action as a special limit of the Nambu-Goto action in an FLRW background. We use this action to study non-relativistic string dynamics in an expanding universe and construct an analytic model describing the macroscopic properties of non-relativistic string networks. The non-relativistic constraint equations allow arbitrarily small string velocities and thus a `frustrated' equation of state for non-interacting strings can be obtained without the need of a velocity damping mechanism. Assuming that colliding string segments reconnect by exchange of partners, non-relativistic string networks exhibit scaling behaviour, but with enhanced energy densities due to the reduced average string velocity. Non-relativistic string networks can be relevant in several contexts in condensed matter physics and cosmology.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:23:17 GMT" }, { "version": "v2", "created": "Wed, 30 Apr 2008 09:28:45 GMT" } ]
2009-06-19T00:00:00
[ [ "Avgoustidis", "A.", "" ], [ "Gomis", "Joaquim", "" ] ]
0707.3945
Markus J\"org
Markus J\"org
k-Disjunctive cuts and a finite cutting plane algorithm for general mixed integer linear programs
18 pages, 2 figures
null
null
null
math.OC
null
In this paper we give a generalization of the well known split cuts of Cook, Kannan and Schrijver to cuts which are based on multi-term disjunctions. They will be called k-disjunctive cuts. The starting point is the question what kind of cuts is needed for a finite cutting plane algorithm for general mixed integer programs. We will deal with this question in detail and derive cutting planes based on k-disjunctions related to a given cut vector. Finally we will show how a finite cutting plane algorithm can be established using these cuts in combination with Gomory mixed integer cuts.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:15:18 GMT" } ]
2007-07-27T00:00:00
[ [ "Jörg", "Markus", "" ] ]
0707.3946
Dimitris G. Angelakis
Dimitris G. Angelakis and Alastair Kay
Implementing universal quantum gates in coupled cavities
Accepted to appear in the AIP proceedings of the "Quantum Control and Light-Matter Interactions: Recent Computational and Theoretical Results" Symposium of ICCMSE 2007
Am. Inst. of Phys. Vol. 963, 763 (2007)
10.1063/1.2836195
null
quant-ph
null
We study a linear array of coupled cavities interacting with two level systems and show how to construct individually addressable qubits in this system from the long-lived atom-photon excitations (polaritons) at each site. We derive the system dynamics and show that is described by an XY Hamiltonian. We proceed by showing how to implement non-local quantum gates and show that combined with the inherent ability for individual addressing, universal quantum computation is possible in this system. We finally discuss the prospects for experimental implementation using various technologies involving dopants as atoms, quantum dots or Cooper pair boxes.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:16:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Angelakis", "Dimitris G.", "" ], [ "Kay", "Alastair", "" ] ]
0707.3947
Ekaterina Amerik
Ekaterina Amerik
A computation of invariants of a rational self-map
LaTeX, 10 pages
null
null
null
math.AG
null
I compute the dynamical degrees in C. Voisin's example of a rational self-map of the variety of lines on a cubic fourfold.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:19:08 GMT" } ]
2007-07-27T00:00:00
[ [ "Amerik", "Ekaterina", "" ] ]
0707.3948
Ekaterina Amerik
Ekaterina Amerik, Claire Voisin
Potential density of rational points on the variety of lines of a cubic fourfold
LaTeX, 22 pages
null
null
null
math.AG
null
We prove the potential density of rational points on the variety of lines of a sufficiently general cubic fourfold defined over a number field, where ``sufficiently general'' means that a condition of Terasoma type is satisfied. These varieties have trivial canonical bundle and have geometric Picard group equal to $\mathbb{Z}$.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:27:55 GMT" } ]
2007-07-27T00:00:00
[ [ "Amerik", "Ekaterina", "" ], [ "Voisin", "Claire", "" ] ]
0707.3949
Dmitri Prokhorenko
D. V. Prokhorenko
Nonequilibrium Renormalization Theory I
null
null
null
null
cond-mat.stat-mech math-ph math.MP
null
In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for nonequilibrium matter and closely related to the divergences in the kinetic theory of gases. We suggest a scheme of renormalization of such divergences and illustrate it on some examples. In the other papers of these series we develop the general theory of renormalization of nonequilibrium diagram technique. The fact that thermal divergences in non-equilibrium diagram technique can be renormalized leads to the following consequence: to prove that the system tends to the thermal equilibrium one should to take into account the behaviour of the system on its boundary. In this paper we illustrate this fact on Bogoliubov derivation of kinetic equations.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:27:57 GMT" }, { "version": "v2", "created": "Tue, 18 Sep 2007 15:49:06 GMT" }, { "version": "v3", "created": "Thu, 4 Oct 2007 15:09:17 GMT" } ]
2007-10-04T00:00:00
[ [ "Prokhorenko", "D. V.", "" ] ]
0707.3950
Mark Villarino B.
Mark B. Villarino
Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number
sharp error estimates and general formulas for Ramanujan's harmonic number expansion; correction of typo in the Ramanujan-Lodge lower bound constant; thanks to Jonathan Post and Martin Fuller; fixed typo in the title
null
null
null
math.CA math.GM
null
An algebraic transformation of the DeTemple-Wang half-integer approximation to the harmonic series produces the general formula and error estimate for the Ramanujan expansion for the nth harmonic number into negative powers of the nth triangular number. We also discuss the history of the Ramanujan expansion for the nth harmonic number as well as sharp estimates of its accuracy, with complete proofs, and we compare it with other approximative formulas.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:28:24 GMT" }, { "version": "v2", "created": "Sat, 28 Jul 2007 17:31:44 GMT" } ]
2007-07-30T00:00:00
[ [ "Villarino", "Mark B.", "" ] ]
0707.3951
Andrey Lazarev
Alastair Hamilton and Andrey Lazarev
Symplectic $C_\infty$-algebras
This paper is a substantial revision of the part of math.QA/0410621 dealing with sympectic $C_\infty$-algebras. The main addition is the treatment of unital $C_\infty$-structures. 27 pages
null
null
null
math.QA math.AG math.KT
null
In this paper we show that a strongly homotopy commutative (or $C_\infty$-) algebra with an invariant inner product on its cohomology can be uniquely extended to a symplectic $C_\infty$-algebra (an $\infty$-generalisation of a commutative Frobenius algebra introduced by Kontsevich). This result relies on the algebraic Hodge decomposition of the cyclic Hochschild cohomology of a $\ci$-algebra and does not generalize to algebras over other operads.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:42:28 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 21:37:23 GMT" } ]
2007-07-27T00:00:00
[ [ "Hamilton", "Alastair", "" ], [ "Lazarev", "Andrey", "" ] ]
0707.3952
Chong Sheng Li
Chong Sheng Li, Zhao Li, Robert J. Oakes, Li Lin Yang
Threshold Resummation Effects in the Associated Production of Chargino and Neutralino at Hadron Colliders
revised version with midifications, several references added
Phys.Rev.D77:034010,2008
10.1103/PhysRevD.77.034010
null
hep-ph
null
We investigate the QCD effects in the associated production of the chargino and the neutralino, $\tilde\chi^\pm_{1}$ and $\tilde\chi^0_{2}$, in the Minimal Supersymmetric Standard Model (MSSM) at both the Fermilab Tevatron and the CERN Large Hadron Collider (LHC). We include the next-to-leading order (NLO) QCD corrections (including supersymmetric QCD) and the threshold resummation effects. Our results show that, compared to the NLO predictions, the threshold resummation effects can increase the total cross sections by 3.6% and 3.9% for the associated production of $\tilde\chi^+_{1}\tilde\chi^0_{2}$ and $\tilde\chi^-_{1}\tilde\chi^0_{2}$ at the LHC, respectively, and by 4.7% for those of $\tilde\chi^\pm_{1}\tilde\chi^0_{2}$ at the Tevatron. In the invariant mass distributions the resummation effects are significant for large invariant mass. The threshold resummation reduces the dependence of the total cross sections at the LHC (Tevatron) on the renormalization/factorization scales to 5% (4%) from up to 7% (11%) at NLO.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:49:43 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 02:29:16 GMT" }, { "version": "v3", "created": "Tue, 7 Aug 2007 07:39:58 GMT" }, { "version": "v4", "created": "Mon, 19 Nov 2007 11:54:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Li", "Chong Sheng", "" ], [ "Li", "Zhao", "" ], [ "Oakes", "Robert J.", "" ], [ "Yang", "Li Lin", "" ] ]
0707.3953
Michael Temkin
Michael Temkin
Stable modification of relative curves
60 pages, third version, the paper was revised due to referee's report, section 2 was divided into sections 2 and 6, to appear in JAG
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We generalize theorems of Deligne-Mumford and de Jong on semi-stable modifications of families of proper curves. The main result states that after a generically \'etale alteration of the base any (not necessarily proper) family of multipointed curves with semi-stable generic fiber admits a minimal semi-stable modification. The latter can also be characterized by the property that its geometric fibers have no certain exceptional components. The main step of our proof is uniformization of one-dimensional extensions of valued fields. Riemann-Zariski spaces are then used to obtain the result over any integral base.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:41:01 GMT" }, { "version": "v2", "created": "Thu, 16 Apr 2009 18:29:50 GMT" }, { "version": "v3", "created": "Wed, 14 Apr 2010 21:40:22 GMT" } ]
2010-04-16T00:00:00
[ [ "Temkin", "Michael", "" ] ]
0707.3954
Diego Guadagnoli
Michaela E. Albrecht, Wolfgang Altmannshofer, Andrzej J. Buras, Diego Guadagnoli, David M. Straub
Challenging SO(10) SUSY GUTs with family symmetries through FCNC processes
1 + 37 pages, 5 figures, 11 tables. v3: minor typos fixed. Matches JHEP published version
JHEP0710:055,2007
10.1088/1126-6708/2007/10/055
TUM-HEP-671/07
hep-ph
null
We perform a detailed analysis of the SO(10) SUSY GUT model with D3 family symmetry of Dermisek and Raby (DR). The model is specified in terms of 24 parameters and predicts, as a function of them, the whole MSSM set of parameters at low energy scales. Concerning the SM subset of such parameters, the model is able to give a satisfactory description of the quark and lepton masses, of the PMNS matrix and of the CKM matrix. We perform a global fit to the model, including flavour changing neutral current (FCNC) processes Bs --> mu+ mu-, B --> Xs gamma, B --> Xs l+ l- and the B(d,s) - bar B(d,s) mass differences Delta M(d,s) as well as the flavour changing (FC) process B+ --> tau+ nu. These observables provide at present the most sensitive probe of the SUSY mass spectrum and couplings predicted by the model. Our analysis demonstrates that the simultaneous description of the FC observables in question represents a serious challenge for the DR model, unless the masses of the scalars are moved to regions which are problematic from the point of view of naturalness and probably beyond the reach of the LHC. We emphasize that this problem could be a general feature of SUSY GUT models with third generation Yukawa unification and weak-scale minimal flavour violation.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:41:40 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 16:34:59 GMT" }, { "version": "v3", "created": "Sun, 25 Nov 2007 13:24:20 GMT" } ]
2008-11-26T00:00:00
[ [ "Albrecht", "Michaela E.", "" ], [ "Altmannshofer", "Wolfgang", "" ], [ "Buras", "Andrzej J.", "" ], [ "Guadagnoli", "Diego", "" ], [ "Straub", "David M.", "" ] ]
0707.3955
Ricardo Pinto
R. A. Pinto and S. Flach
Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
10 pages, 9 figures. Improved version with further discussions. Accepted in Physical Review B
null
10.1103/PhysRevB.77.024308
null
cond-mat.mes-hall cond-mat.other
null
We consider the classical and quantum dynamics of excitations in a system of two capacitively coupled Josephson junctions. In the classical case the equations of motion admit discrete breather solutions, which are time periodic and localized predominantly on one of the junctions. In the quantum case breather states are found in the central part of the energy spectrum of the confined nonescaping states of the system. We perform a systematic analysis of their tunneling frequency, site correlations, fluctuations of the number of quanta, and entanglement. Quantum breather states show strong site correlation of quanta and are characterized by a strong excitation of quanta on one junction which perform slow coherent tunneling motion from one junction to the other. They suppress fluctuations of the total number of excited quanta. Quantum breather states are the least entangled states among the group of eigenstates in the same range of the energy spectrum. We describe how quantum breather excitations could be experimentally observed by employing the already developed techniques for quantum information processing using Josephson junctions.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:53:07 GMT" }, { "version": "v2", "created": "Tue, 27 Nov 2007 10:06:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Pinto", "R. A.", "" ], [ "Flach", "S.", "" ] ]
0707.3956
Jacob Sturm
D. H. Phong and Jacob Sturm
On the regularity of geodesic rays associated to test configurations
null
null
null
null
math.DG math.CV
null
Geodesic rays of class C^{1,1} are constructed for any test configuration of a positive line bundle L on X using resolution of singularities. The construction reduces to finding a subsolution of the corresponding Monge-Ampere equation. Geometrically, this is accomplished by the use a positive line bundle on the resolution which is trivial outside of the exceptional divisor.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:30:11 GMT" } ]
2007-07-27T00:00:00
[ [ "Phong", "D. H.", "" ], [ "Sturm", "Jacob", "" ] ]
0707.3957
Alexander V. Milovanov Dr.
Alexander V. Milovanov (1) Jens Juul Rasmussen (2) Kristoffer Rypdal (1) ((1) Department of Physics and Technology, University of Tromso UiT, Tromso, Norway; (2) Optics and Plasma Research Department, Riso National Laboratory, Technical University of Denmark, Roskilde, Denmark)
Stretched-exponential decay functions from a self-consistent model of dielectric relaxation
17 pages
null
10.1016/j.physleta.2007.11.025
null
cond-mat.mtrl-sci cond-mat.stat-mech
null
There are many materials whose dielectric properties are described by a stretched exponential, the so-called Kohlrausch-Williams-Watts (KWW) relaxation function. Its physical origin and statistical-mechanical foundation have been a matter of debate in the literature. In this paper we suggest a model of dielectric relaxation, which naturally leads to a stretched exponential decay function. Some essential characteristics of the underlying charge conduction mechanisms are considered. A kinetic description of the relaxation and charge transport processes is proposed in terms of equations with time-fractional derivatives.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:05:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Milovanov", "Alexander V.", "" ], [ "Rasmussen", "Jens Juul", "" ], [ "Rypdal", "Kristoffer", "" ] ]
0707.3958
Sandra Chapman
S. C. Chapman, G. Rowlands, N. W. Watkins
Control parameters in turbulence, Self Organized Criticality and ecosystems
1 manuscript file (Revtex), 2 figure files (.eps). Revised and resubmitted to J. Phys. A
null
null
null
physics.bio-ph physics.gen-ph
null
From the starting point of the well known Reynolds number of fluid turbulence we propose a control parameter $R$ for a wider class of systems including avalanche models that show Self Organized Criticality (SOC) and ecosystems. $R$ is related to the driving and dissipation rates and from similarity analysis we obtain a relationship $R\sim N^{\beta_N}$ where $N$ is the number of degrees of freedom. The value of the exponent $\beta_N$ is determined by detailed phenomenology but its sign follows from our similarity analysis. For SOC, $R=h/\epsilon$ and we show that $\beta_N<0$ hence we show independent of the details that the transition to SOC is when $R \to 0$, in contrast to fluid turbulence, formalizing the relationship between turbulence (since $\beta_N >0$, $R \to \infty$) and SOC ($R=h/\epsilon\to 0$). A corollary is that SOC phenomenology, that is, power law scaling of avalanches, can persist for finite $R$ with unchanged exponent if the system supports a sufficiently large range of lengthscales; necessary for SOC to be a candidate for physical systems. We propose a conceptual model ecosystem where $R$ is an observable parameter which depends on the rate of throughput of biomass or energy; we show this has $\beta_N>0$, so that increasing $R$ increases the abundance of species, pointing to a critical value for species 'explosion'.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:46:05 GMT" }, { "version": "v2", "created": "Thu, 21 Feb 2008 09:57:16 GMT" } ]
2008-02-21T00:00:00
[ [ "Chapman", "S. C.", "" ], [ "Rowlands", "G.", "" ], [ "Watkins", "N. W.", "" ] ]
0707.3959
Dung Dao
Dung Ngoc Dao, Chau Yuen, Chintha Tellambura, Yong Liang Guan and Tjeng Thiang Tjhung
Four-Group Decodable Space-Time Block Codes
1 figure. Accepted for publication in IEEE Trans. on Signal Processing
null
10.1109/TSP.2007.906729
null
cs.IT math.IT
null
Two new rate-one full-diversity space-time block codes (STBC) are proposed. They are characterized by the \emph{lowest decoding complexity} among the known rate-one STBC, arising due to the complete separability of the transmitted symbols into four groups for maximum likelihood detection. The first and the second codes are delay-optimal if the number of transmit antennas is a power of 2 and even, respectively. The exact pair-wise error probability is derived to allow for the performance optimization of the two codes. Compared with existing low-decoding complexity STBC, the two new codes offer several advantages such as higher code rate, lower encoding/decoding delay and complexity, lower peak-to-average power ratio, and better performance.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:14:33 GMT" } ]
2016-11-17T00:00:00
[ [ "Dao", "Dung Ngoc", "" ], [ "Yuen", "Chau", "" ], [ "Tellambura", "Chintha", "" ], [ "Guan", "Yong Liang", "" ], [ "Tjhung", "Tjeng Thiang", "" ] ]
0707.3960
Jozsef Garai
Jozsef Garai
P-V-T equation of state of epsilon iron and its densities at core conditions
null
null
null
null
physics.gen-ph
null
The author's new p-V-T Equation of State is tested against the available experiments of epsilon iron. The root-mean-square-deviations (RMSD) of the molar volume, pressure, and temperature are 0.021 cm3, 2.0 GPa and 144.9 K respectively. Separating the experiments into 200 K ranges the new EoS was compared to the most widely used finite strain, interatomic potential, and empirical isothermal EoSs such as the Burch-Murnaghan, the Vinet, and the Roy-Roy respectively. Correlation coefficients, RMSDs of the residuals and Akaike Information Criteria were used for evaluating the fittings. Based on these fitting parameters the new p-V-T EoS is equal or better than the conventional isothermal EoSs. The newly defined parameters were used to calculate the density of the inner core. The calculated densities are significantly lower than the current consensus indicating that it might be too early excluding the possibility of a pure iron-nickel core with no light elements.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:24:18 GMT" } ]
2007-07-27T00:00:00
[ [ "Garai", "Jozsef", "" ] ]
0707.3961
Douglas Galvao
Vitor R. Coluci, Nicola M. Pugno, Socrates O. Dantas, Douglas S. Galvao and Ado Jorio
Atomistic Simulations of the Mechanical Properties of 'Super' Carbon Nanotubes
16 pages, 6 figures, to appear in Nanotechnology
null
10.1088/0957-4484/18/33/335702
null
cond-mat.mtrl-sci
null
The mechanical properties of the so-called `super' carbon nanotubes (STs) are investigated using classical molecular dynamics simulations. The STs are built from single walled carbon nanotubes (SWCNTs) connected by Y-like junctions forming an ordered carbon nanotube network that is then rolled into a seamless cylinder. We observed that the ST behavior under tensile tests is similar to the one presented by fishing nets. This interesting behavior provides a way to vary the accessible channels to the inner parts of STs by applying external mechanical load. The Young's modulus is dependent on the ST chirality and it inversely varies with the ST radius. Smaller reduction of breaking strain values due to temperature increase is predicted for zigzag STs compared to SWCNTs. The results show that, for STs with radius ~ 5 nm, the junctions between the constituent SWCNTs play an important role on the fracture process. The Young's modulus and tensile strength were estimated for hierarchical higher-order STs using scaling laws related to the ST fractal dimension. The obtained mechanical properties suggest that STs may be used in the development of new porous, flexible, and high-strength materials.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:31:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Coluci", "Vitor R.", "" ], [ "Pugno", "Nicola M.", "" ], [ "Dantas", "Socrates O.", "" ], [ "Galvao", "Douglas S.", "" ], [ "Jorio", "Ado", "" ] ]
0707.3962
Nelson Christensen
Christian R\"over, Renate Meyer, Gianluca M. Guidi, Andrea Vicer\'e, Nelson Christensen
Coherent Bayesian analysis of inspiral signals
Accepted for publication in Classical and Quantum Gravity, Special issue for GWDAW-11
Class.Quant.Grav.24:S607-S616,2007
10.1088/0264-9381/24/19/S23
null
gr-qc
null
We present in this paper a Bayesian parameter estimation method for the analysis of interferometric gravitational wave observations of an inspiral of binary compact objects using data recorded simultaneously by a network of several interferometers at different sites. We consider neutron star or black hole inspirals that are modeled to 3.5 post-Newtonian (PN) order in phase and 2.5 PN in amplitude. Inference is facilitated using Markov chain Monte Carlo methods that are adapted in order to efficiently explore the particular parameter space. Examples are shown to illustrate how and what information about the different parameters can be derived from the data. This study uses simulated signals and data with noise characteristics that are assumed to be defined by the LIGO and Virgo detectors operating at their design sensitivities. Nine parameters are estimated, including those associated with the binary system, plus its location on the sky. We explain how this technique will be part of a detection pipeline for binary systems of compact objects with masses up to $20 \sunmass$, including cases where the ratio of the individual masses can be extreme.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:33:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Röver", "Christian", "" ], [ "Meyer", "Renate", "" ], [ "Guidi", "Gianluca M.", "" ], [ "Viceré", "Andrea", "" ], [ "Christensen", "Nelson", "" ] ]
0707.3963
Meinrenken
E. Meinrenken
On the quantization of conjugacy classes
32 pages
Enseign. Math. (2) 55 (2009), no. 1-2, 33-75
null
null
math.DG
null
Let G be a compact, simple, simply connected Lie group. A theorem of Freed-Hopkins-Teleman identifies the level k fusion ring R_k(G) of G with the twisted equivariant K-homology at level k+h, where h is the dual Coxeter number. In this paper, we review this result using the language of Dixmier-Douady bundles. We show that the additive generators of the group R_k(G) are obtained as K-homology push-forwards of the fundamental classes of conjugacy classes in G.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:58:35 GMT" } ]
2011-10-10T00:00:00
[ [ "Meinrenken", "E.", "" ] ]
0707.3964
Antonio M. Garcia-Garcia
Antonio M. Garcia-Garcia and Jiao Wang
Universality in quantum chaos and the one parameter scaling theory
4 pages, 2 figures, acknowledgment added, typos corrected
Phys. Rev. Lett. 100, 070603 (2008)
10.1103/PhysRevLett.100.070603
null
cond-mat.dis-nn cond-mat.mes-hall nlin.CD quant-ph
null
We adapt the one parameter scaling theory (OPT) to the context of quantum chaos. As a result we propose a more precise characterization of the universality classes associated to Wigner-Dyson and Poisson statistics which takes into account Anderson localization effects. Based also on the OPT we predict a new universality class in quantum chaos related to the metal-insulator transition and provide several examples. In low dimensions it is characterized by classical superdiffusion or a fractal spectrum, in higher dimensions it can also have a purely quantum origin as in the case of disordered systems. Our findings open the possibility of studying the metal insulator transition experimentally in a much broader type of systems.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:40:48 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 16:56:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Garcia-Garcia", "Antonio M.", "" ], [ "Wang", "Jiao", "" ] ]
0707.3965
Walter Christensen Jr.
Walter J. Christensen Jr
Haar Wavelets and the Origin of Gravitational Inertia
null
null
null
null
physics.gen-ph
null
Spacetime is considered to be everywhere Minkowski except at the location where a signal wave of energy interacts with the gravitational field. The conformal metric f[k(x-vt)]Nuv is suitably chosen to represent this interaction, where f[k(x-vt)]is a generalized wave or signal function. Parametrized and Taylor expanded at zero, the spacetime metric is transformed into a Haar wavelet having parameter width tau. Applying the Haar metric to the time component of General Relativistic wave equation reduces it from a second ordered covariant differential equation to a first ordered partial differential equation that allows the Einstein Tensor to be easily be expressed in the familiar Poisson form for gravitation. By comparison with the matter density of this equation, to the Haar-Einstein result, shows that the wavelength of a graviton becomes the fundamental source for gravitational attraction. Since the signal wave is unidirectional, it strongly supports Machs assumption that inertia arises from all the matter in the universe. Furthermore, because the Haar metric is conformal, the signal metric is solved for exactly.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:42:50 GMT" }, { "version": "v2", "created": "Sun, 29 Jul 2007 00:17:54 GMT" } ]
2010-07-28T00:00:00
[ [ "Christensen", "Walter J.", "Jr" ] ]
0707.3966
Dirk H. Rischke
Masakiyo Kitazawa, Dirk H. Rischke, Igor A. Shovkovy
Bose-Einstein condensation of diquark molecules in three-flavor quark matter
8 pages, 3 figures, proceedings of YKIS 2006 "New Frontiers in QCD"
Prog.Theor.Phys.Suppl.168:389-396,2007
10.1143/PTPS.168.389
null
nucl-th
null
We study the phase diagram of strongly interacting matter with three quark flavors at low and intermediate densities and non-zero temperatures in the framework of an NJL-type model with four-point interactions. At large densities, when the interactions are weak due to asymptotic freedom, quarks form loosely bound Cooper pairs. However, when the density decreases, interactions become stronger and quark Cooper pairs transform smoothly into tightly bound diquark molecules. We find that such molecules are stable at low density and temperature and that they dissociate above a temperature $T_{\rm diss}$ of the order of the chiral phase transition temperature $T_c \sim 170$ MeV. We also explore the conditions under which these molecules undergo Bose-Einstein condensation (BEC). We find that BEC is only possible if we increase the attractive interaction in the diquark channel to (probably unrealistically) large values.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:45:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Kitazawa", "Masakiyo", "" ], [ "Rischke", "Dirk H.", "" ], [ "Shovkovy", "Igor A.", "" ] ]
0707.3967
Juan Bueno-Sanchez
J. C. Bueno Sanchez and K. Dimopoulos
Curvaton reheating allows TeV Hubble scale in NO inflation
4 pages, no figures
JCAP0711:007,2007
10.1088/1475-7516/2007/11/007
null
hep-ph astro-ph hep-th
null
Curvaton reheating is studied in non-oscillatory (NO) models of inflation, with the aim to obtain bounds on the parameters of curvaton models and find out whether low scale inflation can be attained. Using a minimal curvaton model, it is found that the allowed parameter space is considerably larger than in the case of the usual oscillatory inflation models. In particular, inflation with Hubble scale as low as 1 TeV is comfortably allowed.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:47:05 GMT" } ]
2008-11-26T00:00:00
[ [ "Sanchez", "J. C. Bueno", "" ], [ "Dimopoulos", "K.", "" ] ]
0707.3968
Charles B. Leffert
Charles B. Leffert
Phenomenology for Supernova Ia Data Based on a New Cosmic Time
PDF, 36 pages, 18 figures, All rights reserved
null
null
null
physics.gen-ph
null
A new phenomenological theory for the expansion of our universe is presented. Because fundamental supporting theory is still in development, its discussion is not presented in this paper. The theory is based on a new algebraic expression for cosmic time G Rho t^2=3/32Pi, which correctly predicts the WMAP measured cosmological constants and the fundamental Hubble parameter H(t) for the expansion of the universe. A replacement for dark matter, called here "dark mass", is proposed which scales as with the expansion and incorporated. It does not react with ordinary matter, except gravitationally, and produces flat rotational curves for spiral galaxies. Also a new expression for the approaching velocity of radiation in a closed 3-sphere expanding universe is given that accounts for the early degrading negative approach of radiation for z > 1.7. The expression is v = Hr-c. Combining these three elements produces a luminosity distance dL that successfully predicts the apparent magnitude of exploding supernova Ia stars and even the new gamma ray bursts with no need for dark energy or acceleration of the expansion of the universe.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:50:35 GMT" } ]
2011-01-26T00:00:00
[ [ "Leffert", "Charles B.", "" ] ]
0707.3969
Nelson Christensen
Christian R\"over, Alexander Stroeer, Ed Bloomer, Nelson Christensen, James Clark, Martin Hendry, Chris Messenger, Renate Meyer, Matt Pitkin, Jennifer Toher, Richard Umst\"atter, Alberto Vecchio, John Veitch, Graham Woan
Inference on inspiral signals using LISA MLDC data
Accepted for publication in Classical and Quantum Gravity, GWDAW-11 special issue
Class.Quant.Grav.24:S521-S528,2007
10.1088/0264-9381/24/19/S15
null
gr-qc
null
In this paper we describe a Bayesian inference framework for analysis of data obtained by LISA. We set up a model for binary inspiral signals as defined for the Mock LISA Data Challenge 1.2 (MLDC), and implemented a Markov chain Monte Carlo (MCMC) algorithm to facilitate exploration and integration of the posterior distribution over the 9-dimensional parameter space. Here we present intermediate results showing how, using this method, information about the 9 parameters can be extracted from the data.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:30:21 GMT" }, { "version": "v2", "created": "Sun, 5 Aug 2007 14:17:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Röver", "Christian", "" ], [ "Stroeer", "Alexander", "" ], [ "Bloomer", "Ed", "" ], [ "Christensen", "Nelson", "" ], [ "Clark", "James", "" ], [ "Hendry", "Martin", "" ], [ "Messenger", "Chris", "" ], [ "Meyer", "Renate", "" ], [ "Pitkin", "Matt", "" ], [ "Toher", "Jennifer", "" ], [ "Umstätter", "Richard", "" ], [ "Vecchio", "Alberto", "" ], [ "Veitch", "John", "" ], [ "Woan", "Graham", "" ] ]
0707.3970
Daowen Qiu
Daowen Qiu
Minimum-error discrimination between mixed quantum states
A further revised version, and some results have been added
Phys. Rev. A 77, 012328 (2008)
10.1103/PhysRevA.77.012328
null
quant-ph
null
We derive a general lower bound on the minimum-error probability for {\it ambiguous discrimination} between arbitrary $m$ mixed quantum states with given prior probabilities. When $m=2$, this bound is precisely the well-known Helstrom limit. Also, we give a general lower bound on the minimum-error probability for discriminating quantum operations. Then we further analyze how this lower bound is attainable for ambiguous discrimination of mixed quantum states by presenting necessary and sufficient conditions related to it. Furthermore, with a restricted condition, we work out a upper bound on the minimum-error probability for ambiguous discrimination of mixed quantum states. Therefore, some sufficient conditions are obtained for the minimum-error probability attaining this bound. Finally, under the condition of the minimum-error probability attaining this bound, we compare the minimum-error probability for {\it ambiguously} discriminating arbitrary $m$ mixed quantum states with the optimal failure probability for {\it unambiguously} discriminating the same states.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 16:53:47 GMT" }, { "version": "v2", "created": "Wed, 19 Sep 2007 16:29:55 GMT" }, { "version": "v3", "created": "Wed, 26 Sep 2007 15:46:10 GMT" }, { "version": "v4", "created": "Fri, 30 Nov 2007 00:49:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Qiu", "Daowen", "" ] ]
0707.3971
Sergei V. Kalinin
Sergei V. Kalinin and Vincent Meunien
Quantum Flexoelectricity in Low Dimensional Systems
15 pages, 3 figures
null
10.1103/PhysRevB.77.033403
null
cond-mat.mtrl-sci
null
Symmetry breaking at surfaces and interfaces and the capability to support large strain gradients in nanoscale systems enable new forms of electromechanical coupling. Here we introduce the concept of quantum flexoelectricity, a phenomenon that is manifested when the mechanical deformation of non-polar quantum systems results in the emergence of net dipole moments and hence linear electromechanical coupling proportional to local curvature. The concept is illustrated in carbon systems, including polyacetylene and nano graphitic ribbons. Using density functional theory calculations for systems made of up to 400 atoms, we determine the flexoelectric coefficients to be of the order of ~ 0.1 e, in agreement with the prediction of linear theory. The implications of quantum flexoelectricity on electromechanical device applications, and physics of carbon based materials are discussed.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:01:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Kalinin", "Sergei V.", "" ], [ "Meunien", "Vincent", "" ] ]
0707.3972
Ted Pedersen
Ted Pedersen
Learning Probabilistic Models of Word Sense Disambiguation
195 pages
PhD dissertation, May 1998, Department of Computer Science and Engineering, Southern Methodist University
null
null
cs.CL cs.AI
null
This dissertation presents several new methods of supervised and unsupervised learning of word sense disambiguation models. The supervised methods focus on performing model searches through a space of probabilistic models, and the unsupervised methods rely on the use of Gibbs Sampling and the Expectation Maximization (EM) algorithm. In both the supervised and unsupervised case, the Naive Bayesian model is found to perform well. An explanation for this success is presented in terms of learning rates and bias-variance decompositions.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:02:40 GMT" } ]
2009-09-29T00:00:00
[ [ "Pedersen", "Ted", "" ] ]
0707.3973
Ali Goker
A. Goker, B. A. Friedman and P. Nordlander
Transient current in a quantum dot asymmetrically coupled to metallic leads
11 pages, 5 figures; to appear in J. Phys. Condens. Matter
null
10.1088/0953-8984/19/37/376206
null
cond-mat.str-el
null
The time-dependent non-crossing approximation is used to study the transient current in a single electron transistor attached asymmetrically to two leads following a sudden change in the energy of the dot level. We show that for asymmetric coupling, sharp features in the density of states of the leads can induce oscillations in the current through the dot. These oscillations persist to much longer timescales than the timescale for charge fluctuations. The amplitude of the oscillations increases as the temperature or source-drain bias across the dot is reduced and saturates for values below the Kondo temperature. We discuss the microscopic origin of these oscillations and comment on the possibility for their experimental detection.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:13:50 GMT" } ]
2015-05-13T00:00:00
[ [ "Goker", "A.", "" ], [ "Friedman", "B. A.", "" ], [ "Nordlander", "P.", "" ] ]
0707.3974
Jozsef Cserti
P. Rakyta, L. Oroszlany, A. Kormanyos, C. J. Lambert and J. Cserti
Peculiar Nature of Snake States in Graphene
4 pages, 5 figures
Phys. Rev. B 77, 081403(R) (2008)
10.1103/PhysRevB.77.081403
null
cond-mat.mes-hall
null
We study the dynamics of the electrons in a non-uniform magnetic field applied perpendicular to a graphene sheet in the low energy limit when the excitation states can be described by a Dirac type Hamiltonian. We show that as compared to the two-dimensional electron gas (2DEG) snake states in graphene exibit peculiar properties related to the underlying dynamics of the Dirac fermions. The current carried by snake states is locally uncompensated even if the Fermi energy lies between the first non-zero energy Landau levels of the conduction and valence bands. The nature of these states is studied by calculating the current density distribution. It is shown that besides the snake states in finite samples surface states also exist.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:14:18 GMT" } ]
2008-02-22T00:00:00
[ [ "Rakyta", "P.", "" ], [ "Oroszlany", "L.", "" ], [ "Kormanyos", "A.", "" ], [ "Lambert", "C. J.", "" ], [ "Cserti", "J.", "" ] ]
0707.3975
Nicola Romanazzi
Christophe Letellier (CORIA), Robert Gilmore (Drexel U., CORIA), Timothy Jones (Drexel U.)
Peeling Bifurcations of Toroidal Chaotic Attractors
7 pages, 14 figures, accepted to Physical Review E
null
10.1103/PhysRevE.76.066204
null
nlin.CD
null
Chaotic attractors with toroidal topology (van der Pol attractor) have counterparts with symmetry that exhibit unfamiliar phenomena. We investigate double covers of toroidal attractors, discuss changes in their morphology under correlated peeling bifurcations, describe their topological structures and the changes undergone as a symmetry axis crosses the original attractor, and indicate how the symbol name of a trajectory in the original lifts to one in the cover. Covering orbits are described using a powerful synthesis of kneading theory with refinements of the circle map. These methods are applied to a simple version of the van der Pol oscillator.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:22:09 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 13:16:29 GMT" }, { "version": "v3", "created": "Wed, 17 Oct 2007 22:55:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Letellier", "Christophe", "", "CORIA" ], [ "Gilmore", "Robert", "", "Drexel U., CORIA" ], [ "Jones", "Timothy", "", "Drexel U." ] ]
0707.3976
H{\aa}vard Haugen
H. Haugen, Daniel Huertas-Hernando and Arne Brataas
Spin transport in proximity induced ferromagnetic graphene
9 pages, 11 figures
Phys. Rev. B 77, 115406 (2008)
10.1103/PhysRevB.77.115406
null
cond-mat.mes-hall
null
Magnetic gates in close proximity to graphene can induce ferromagnetic correlations. We study the effect of such induced magnetization dependent Zeeman splittings on the graphene transport properties. We estimate that induced spin splittings of the order of \Delta ~ 5 meV could be achieved with the use of magnetic insulator gates, e.g. EuO-gates, deposited on top of graphene. We demonstrate that such splittings in proximity induced ferromagnetic graphene could be determined directly from the tunneling resonances in the linear response conductance, as the top gate creates also a tunable barrier in the graphene layer. We show how such splittings could also be determined independently by magnetoresistance measurements in a spin-valve geometry. Because the spin polarization of the current near the Dirac point increases with the length of the barrier, long magnetic gates are desirable for determining \Delta experimentally.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:48:52 GMT" }, { "version": "v2", "created": "Fri, 7 Mar 2008 13:18:24 GMT" } ]
2008-03-07T00:00:00
[ [ "Haugen", "H.", "" ], [ "Huertas-Hernando", "Daniel", "" ], [ "Brataas", "Arne", "" ] ]
0707.3977
Andrew Norris
Andrew N. Norris
The worm-like chain model at small and large stretch
7 pages, 5 figures
null
null
null
cond-mat.mtrl-sci
null
The relation between force and stretch in the worm-like chain model of entropic elasticity is examined. Although no closed-form expression is valid for all values of forcing, solutions in the form of asymptotic series can be obtained under conditions of small and large applied force. The small and large stretch limits correspond to regular and boundary layer perturbation problems, respectively. The perturbation problems are solved and series solutions obtained for force as a function of stretch. The form of the asymptotic series suggest a uniform approximation valid for all stretch that is an improvement on existing approximations.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:46:04 GMT" } ]
2007-07-27T00:00:00
[ [ "Norris", "Andrew N.", "" ] ]
0707.3978
Bin Chen
Bin Chen, Wei He, Jun-Bao Wu and Liang Zhang
M5-branes and Wilson Surfaces
30 pages, Latex; little revision;Typos corrected, references added, JHEP published version
JHEP0708:067,2007
10.1088/1126-6708/2007/08/067
SISSA-48/2007/EP
hep-th
null
We investigate the M5-brane description of the Wilson surface operators in six-dimensional (2,0) superconformal field theory from AdS/CFT correspondence. We consider the Wilson surface operators in high-dimensional representation, whose description could be M5-brane string soliton solutions in $AdS_7\times S^4$ background. We construct such string soliton solutions from the covariant M5-brane equations of motion and discuss their properties. The supersymmetry analysis shows that these solutions are half-BPS. We also discuss the subtle issue on the boundary terms.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:52:56 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 18:19:32 GMT" }, { "version": "v3", "created": "Sat, 25 Aug 2007 13:27:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Chen", "Bin", "" ], [ "He", "Wei", "" ], [ "Wu", "Jun-Bao", "" ], [ "Zhang", "Liang", "" ] ]
0707.3979
Refugio Vallejo
Isidro B. Nieto and J. Refugio Vallejo
Clifford Algebra of the Vector Space of Conics for decision boundary Hyperplanes in m-Euclidean Space
12 pages, 2 figures, 1 table
null
null
null
cs.NE cs.CG
null
In this paper we embed $m$-dimensional Euclidean space in the geometric algebra $Cl_m $ to extend the operators of incidence in ${R^m}$ to operators of incidence in the geometric algebra to generalize the notion of separator to a decision boundary hyperconic in the Clifford algebra of hyperconic sections denoted as ${Cl}({Co}_{2})$. This allows us to extend the concept of a linear perceptron or the spherical perceptron in conformal geometry and introduce the more general conic perceptron, namely the {elliptical perceptron}. Using Clifford duality a vector orthogonal to the decision boundary hyperplane is determined. Experimental results are shown in 2-dimensional Euclidean space where we separate data that are naturally separated by some typical plane conic separators by this procedure. This procedure is more general in the sense that it is independent of the dimension of the input data and hence we can speak of the hyperconic elliptic perceptron.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:03:23 GMT" } ]
2007-07-27T00:00:00
[ [ "Nieto", "Isidro B.", "" ], [ "Vallejo", "J. Refugio", "" ] ]
0707.3980
Davide Donato
R. M. Sambruna (1), D. Donato (1), F. Tavecchio (2), L. Maraschi (2), C. C. Cheung (3), C. M. Urry (4) ((1) NASA/GSFC; (2) INAF-Osservatorio Astronomico di Brera; (3) NRAO and Stanford; (4) Yale)
Deep Chandra and multicolor HST observations of the jets of 3C 371 and PKS 2201+044
Accepted for publication in ApJ; 28 pages (emulateapj5), 17 figures
null
10.1086/521972
null
astro-ph
null
This paper presents multiwavelength imaging and broad-band spectroscopy of the relativistic jets in the two nearby radio galaxies 3C 371 and PKS 2201+044, acquired with Chandra, HST, VLA, and Merlin. Radio polarization images are also available. The two sources stand out as "intermediate'' between FRIs and FRIIs; their cores are classified as BL Lacs, although broad and narrow optical emission lines were detected at times. The multiwavelength images show jet morphologies with the X-ray emission peaking closer to the nucleus than the longer wavelengths. The jets are resolved at all wavelengths in a direction perpendicular to the jet axis. The jets SEDs are consistent with a single spectral component from radio to X-rays, interpreted as synchrotron emission. The SEDs show a progressive softening from the inner to the outer regions of the jet, indicating that the electron break energy moves to lower energies with distance from the core. Overall, the X-ray and multiwavelength properties of the jets of 3C 371 and PKS 2201+044 appear intermediate between those of FRIs and FRIIs.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:03:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Sambruna", "R. M.", "" ], [ "Donato", "D.", "" ], [ "Tavecchio", "F.", "" ], [ "Maraschi", "L.", "" ], [ "Cheung", "C. C.", "" ], [ "Urry", "C. M.", "" ] ]
0707.3981
Stefan Ulrych
S. Ulrych
Representations of Clifford algebras with hyperbolic numbers
20 pages Latex2e; minor changes
Adv. Appl. Clifford Algebras 18:93-114 (2008)
10.1007/s00006-007-0057-4
null
math-ph gr-qc hep-th math.MP
null
The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics. A few simple examples are presented, which point out that the hyperbolic numbers can close this gap.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:12:21 GMT" }, { "version": "v2", "created": "Sat, 15 Sep 2007 15:45:21 GMT" } ]
2014-07-01T00:00:00
[ [ "Ulrych", "S.", "" ] ]
0707.3982
Kuang-Ta Chao
Kuang-Ta Chao
Interpretations for the X(4160) observed in the double charm production at B factories
version to appear in Phys. Lette. B, discussions and references added
Phys.Lett.B661:348-353,2008
10.1016/j.physletb.2008.02.039
null
hep-ph hep-ex
null
Belle Collaboration has recently observed a new state, the X(4160), in the process of double charm production $e^+e^-\to J/\psi+X(4160)$ followed by $X(4160)\to D^*\bar{D^*}$. We discuss possible interpretations for the X(4160) based on the NRQCD calculations and the potential model estimates for the charmonium spectrum. We first focus on the D-wave spin-singlet $2^{-+}$ charmonium $^1D_2(2D)$, which is estimated to have a small production rate of about 5% of that for $e^+e^-\to J/\psi+\eta_c(1S)$, and therefore is incompatible with the observed data for X(4160). We then discuss the possibility that the X(4160) is the known $J^{PC}=1^{--}$ charmonium state $\psi(4160)$, which can be produced via two photon fragmentation, but the production rate is much smaller than observed for $e^+e^-\to J/\psi+X(4160)$. In contrast to above two possibilities, the $\eta_c(4S)$ assignment is a likely one, which is supported by the observed relatively large production rate and non-observation of $D\bar D$ decay of X(4160), but we have to understand why $\eta_c(4S)$ has such a low mass, which deserves further studies. The P-wave excited state $\chi_{c0}(3P)$ is also an interesting candidate, if the observed broad peak around 3.8-3.9 GeV in the recoil mass of $D\bar D$ against $J/\psi$ in $e^++e^-\to J/\psi+D\bar D$ is due to the $\chi_{c0}(2P)$ state. Measurements of production angular distributions will be helpful to distinguish between $\eta_c(4S)$ and $\chi_{c0}(3P)$ assignments. Production mechanisms in nonrelativistic QCD are emphasized.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:57:43 GMT" }, { "version": "v2", "created": "Wed, 1 Aug 2007 19:42:35 GMT" }, { "version": "v3", "created": "Thu, 21 Feb 2008 04:35:01 GMT" } ]
2008-11-26T00:00:00
[ [ "Chao", "Kuang-Ta", "" ] ]
0707.3983
Daniel Litim
Daniel F. Litim, Tilman Plehn
Signatures of gravitational fixed points at the LHC
4 pages, 3 figures; v2: error in numerics corrected (Tab. 1), typos removed; v3: comment added, version to appear in Phys. Rev. Lett
Phys.Rev.Lett.100:131301,2008
10.1103/PhysRevLett.100.131301
CERN-TH-PH-2007-127
hep-ph gr-qc hep-th
null
We study quantum-gravitational signatures at the Large Hadron Collider (LHC) in the context of theories with extra spatial dimensions and a low fundamental Planck scale in the TeV range. Implications of a gravitational fixed point at high energies are worked out using Wilson's renormalisation group. We find that relevant cross-sections involving virtual gravitons become finite. Based on gravitational lepton pair production we conclude that the LHC is sensitive to a fundamental Planck scale of up to 6 TeV.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:01:54 GMT" }, { "version": "v2", "created": "Mon, 27 Aug 2007 17:39:15 GMT" }, { "version": "v3", "created": "Thu, 21 Feb 2008 21:55:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Litim", "Daniel F.", "" ], [ "Plehn", "Tilman", "" ] ]
0707.3984
Satoru Konabe
Satoru Konabe and Tetsuro Nikuni
Coarse-Grained Finite-Temperature Theory for the Condensate in Optical Lattices
38 pages, 2 figures. Submitted to Journal of Low Temperature Physics
Journal of Low Temperature Physics 150, 12 (2008)
10.1007/s10909-007-9517-4
null
cond-mat.other
null
In this work, we derive a coarse-grained finite-temperature theory for a Bose condensate in a one-dimensional optical lattice, in addition to a confining harmonic trap potential. We start from a two-particle irreducible (2PI) effective action on the Schwinger-Keldysh closed-time contour path. In principle, this action involves all information of equilibrium and non-equilibrium properties of the condensate and noncondensate atoms. By assuming an ansatz for the variational function, i.e., the condensate order parameter in an effective action, we derive a coarse-grained effective action, which describes the dynamics on the length scale much longer than a lattice constant. Using the variational principle, coarse-grained equations of motion for the condensate variables are obtained. These equations include a dissipative term due to collisions between condensate and noncondensate atoms, as well as noncondensate mean-field. To illustrate the usefulness of our formalism, we discuss a Landau instability of the condensate in optical lattices by using the coarse-grained generalized Gross-Pitaevskii hydrodynamics. We found that the collisional damping rate due to collisions between the condensate and noncondensate atoms changes sign when the condensate velocity exceeds a renormalized sound velocity, leading to a Landau instability consistent with the Landau criterion. Our results in this work give an insight into the microscopic origin of the Landau instability.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:04:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Konabe", "Satoru", "" ], [ "Nikuni", "Tetsuro", "" ] ]
0707.3985
Immanuel Bloch
S. Foelling, S. Trotzky, P. Cheinet, M. Feld, R. Saers, A. Widera, T. Mueller and I. Bloch
Direct Observation of Second Order Atom Tunnelling
18 pages, 4 figures, accepted for publication in Nature
Nature, 448, p. 1029-1032 (2007)
10.1038/nature06112
null
cond-mat.other quant-ph
null
Tunnelling of material particles through a classically impenetrable barrier constitutes one of the hallmark effects of quantum physics. When interactions between the particles compete with their mobility through a tunnel junction, intriguing novel dynamical behaviour can arise where particles do not tunnel independently. In single-electron or Bloch transistors, for example, the tunnelling of an electron or Cooper pair can be enabled or suppressed by the presence of a second charge carrier due to Coulomb blockade. Here we report on the first direct and time-resolved observation of correlated tunnelling of two interacting atoms through a barrier in a double well potential. We show that for weak interactions between the atoms and dominating tunnel coupling, individual atoms can tunnel independently, similar to the case in a normal Josephson junction. With strong repulsive interactions present, two atoms located on one side of the barrier cannot separate, but are observed to tunnel together as a pair in a second order co-tunnelling process. By recording both the atom position and phase coherence over time, we fully characterize the tunnelling process for a single atom as well as the correlated dynamics of a pair of atoms for weak and strong interactions. In addition, we identify a conditional tunnelling regime, where a single atom can only tunnel in the presence of a second particle, acting as a single atom switch. Our work constitutes the first direct observation of second order tunnelling events with ultracold atoms, which are the dominating dynamical effect in the strongly interacting regime. Similar second-order processes form the basis of superexchange interactions between atoms on neighbouring lattice sites of a periodic potential, a central component of quantum magnetism.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:07:12 GMT" } ]
2010-04-06T00:00:00
[ [ "Foelling", "S.", "" ], [ "Trotzky", "S.", "" ], [ "Cheinet", "P.", "" ], [ "Feld", "M.", "" ], [ "Saers", "R.", "" ], [ "Widera", "A.", "" ], [ "Mueller", "T.", "" ], [ "Bloch", "I.", "" ] ]
0707.3986
Bruno Cernuschi-Frias
Bruno Cernuschi-Frias (IRISA)
Mixed States Markov Random Fields with Symbolic Labels and Multidimensional Real Values
null
null
null
null
math.PR
null
New theoretical results are presented here on the recently introduced model called mixed states MRF. Such models were introduced in the context of image motion analysis and are useful to represent information which can take both discrete values accounting for symbolic states, and real values corresponding to continuous measurements. In particular, results are given when the global energy for the Gibbs formulation expressing the mixed states model, can be decomposed into one term accounting for the discrete part of the model, and a second term related to the continuous part. This decomposition theorem permits to define conditional mixed states models in a very simple way.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:08:25 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 12:55:55 GMT" } ]
2009-04-17T00:00:00
[ [ "Cernuschi-Frias", "Bruno", "", "IRISA" ] ]
0707.3987
Vadim Makarov
Vadim Makarov
Controlling passively-quenched single photon detectors by bright light
Experimental results from a third detector model added. Minor corrections and edits made. 11 pages, 10 figures
New J. Phys. 11, 065003 (2009)
10.1088/1367-2630/11/6/065003
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Single photon detectors based on passively-quenched avalanche photodiodes can be temporarily blinded by relatively bright light, of intensity less than a nanowatt. I describe a bright-light regime suitable for attacking a quantum key distribution system containing such detectors. In this regime, all single photon detectors in the receiver Bob are uniformly blinded by continuous illumination coming from the eavesdropper Eve. When Eve needs a certain detector in Bob to produce a click, she modifies polarization (or other parameter used to encode quantum states) of the light she sends to Bob such that the target detector stops receiving light while the other detector(s) continue to be illuminated. The target detector regains single photon sensitivity and, when Eve modifies the polarization again, produces a single click. Thus, Eve has full control of Bob and can do a successful intercept-resend attack. To check the feasibility of the attack, 3 different models of passively-quenched detectors have been tested. In the experiment, I have simulated the intensity diagrams the detectors would receive in a real quantum key distribution system under attack. Control parameters and side effects are considered. It appears that the attack could be practically possible.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:33:22 GMT" }, { "version": "v2", "created": "Tue, 13 Jan 2009 12:16:16 GMT" }, { "version": "v3", "created": "Fri, 17 Apr 2009 06:31:01 GMT" } ]
2009-06-16T00:00:00
[ [ "Makarov", "Vadim", "" ] ]
0707.3988
G\"unter Stolz
Jeff Baker, Michael Loss, G\"unter Stolz
Minimizing the ground state energy of an electron in a randomly deformed lattice
18 pages, 4 figures
null
10.1007/s00220-008-0507-4
null
math-ph math.MP
null
We provide a characterization of the spectral minimum for a random Schr\"odinger operator of the form $H=-\Delta + \sum_{i \in \Z^d}q(x-i-\omega_i)$ in $L^2(\R^d)$, where the single site potential $q$ is reflection symmetric, compactly supported in the unit cube centered at 0, and the displacement parameters $\omega_i$ are restricted so that adjacent single site potentials do not overlap. In particular, we show that a minimizing configuration of the displacements is given by a periodic pattern of densest possible $2^d$-clusters of single site potentials. The main tool to prove this is a quite general phenomenon in the spectral theory of Neumann problems, which we dub ``bubbles tend to the boundary.'' How should a given compactly supported potential be placed into a bounded domain so as to minimize or maximize the first Neumann eigenvalue of the Schr\"odinger operator on this domain? For square or rectangular domains and reflection symmetric potentials, we show that the first Neumann eigenvalue is minimized when the potential sits in one of the corners of the domain and is maximized when it sits in the center of the domain. With different methods we also show a corresponding result for smooth strictly convex domains.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:15:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Baker", "Jeff", "" ], [ "Loss", "Michael", "" ], [ "Stolz", "Günter", "" ] ]
0707.3989
Johan Segers
Bojan Basrak, Johan Segers
Regularly varying multivariate time series
25 pages
null
null
null
math.PR math.ST stat.TH
null
A multivariate, stationary time series is said to be jointly regularly varying if all its finite-dimensional distributions are multivariate regularly varying. This property is shown to be equivalent to weak convergence of the conditional distribution of the rescaled series given that, at a fixed time instant, its distance to the origin exceeds a threshold tending to infinity. The limit object, called the tail process, admits a decomposition in independent radial and angular components. Under an appropriate mixing condition, this tail process allows for a concise and explicit description of the limit of a sequence of point processes recording both the times and the positions of the time series when it is far away from the origin. The theory is applied to multivariate moving averages of finite order with random coefficient matrices.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:20:02 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 20:19:48 GMT" } ]
2007-07-27T00:00:00
[ [ "Basrak", "Bojan", "" ], [ "Segers", "Johan", "" ] ]
0707.3990
Alexander Bolonkin
Alexander Bolonkin
Inflatable Dome for Moon, Mars, Asteroids and Satellites
11 pages, 7 figures, 2 tables
null
null
null
physics.gen-ph physics.space-ph
null
On a planet without atmosphere, sustaining human life is very difficult and dangerous, especially during short sunlit period when low temperature prevails. To counter these environmental stresses, the author offer an innovative artificial "Evergreen" dome, an inflated hemisphere with interiors continuously providing a climate like that of Florida, Italy and Spain. The "Evergreen" dome theory is developed, substantiated by computations that show it is possible for current technology to construct and heat large enclosed volumes inexpensively. Specifically, a satisfactory result is reached by using magnetic suspended at high altitude sunlight reflectors and a special double thin film as a skin, which concentrates solar energy inside the dome while, at the same time, markedly decreasing the heat loss to exterior space. Offered design may be employed for settlements on the Moon, Mars, asteroids and satellites.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:28:53 GMT" } ]
2007-07-27T00:00:00
[ [ "Bolonkin", "Alexander", "" ] ]
0707.3991
Pierre-Alain Duc
Pierre-Alain Duc, Frederic Bournaud and Elias Brinks
Tidal Debris posing as Dark Galaxies
10 pages, 4 figures, to appear in IAU symposium 244 "Dark Galaxies and Lost Baryons"
null
10.1017/S1743921307014019
null
astro-ph
null
Debris sent into the intergalactic medium during tidal collisions can tell us about several fundamental properties of galaxies, in particular their missing mass, both in the form of cosmological Dark Matter and so-called Lost Baryons. High velocity encounters, which are common in clusters of galaxies, are able to produce faint tidal debris that may appear as star-less, free floating HI clouds. These may be mistaken for Dark Galaxies, a putative class of gaseous, dark matter dominated, objects which for some reason never managed to form stars. VirgoHI21 is by far the most spectacular and most discussed Dark Galaxy candidate so far detected in HI surveys. We show here that it is most likely made out of material expelled 750 Myr ago from the nearby spiral galaxy NGC 4254 during its fly--by at about 1000 km/s by a massive intruder. Our numerical model of the collision is able to reproduce the main characteristics of the system: in particular the absence of stars, and its prominent velocity gradient. Originally attributed to the gas being in rotation within a massive dark matter halo, we find it instead to be consistent with a combination of simple streaming motion plus projection effects (Duc & Bournaud, 2007). We discuss several ways to identify a tidal origin in a Dark Galaxy candidate and illustrate the method using another HI system in Virgo, VCC 2062, which is most likely a Tidal Dwarf Galaxy (Duc et al., 2007). Now, whereas tidal debris should not contain any dark matter from the halo of their parent galaxies, it may exhibit missing mass in the form of dark baryons, unaccounted for by classical observations, as recently found in the collisional ring of NGC 5291 (Bournaud et al., 2007) and probably in the TDG VCC 2062. These "Lost Baryons" must originally have been located in the disks of their parent galaxies.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:29:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Duc", "Pierre-Alain", "" ], [ "Bournaud", "Frederic", "" ], [ "Brinks", "Elias", "" ] ]
0707.3992
Arkady Kholodenko L.
Arkady L. Kholodenko
Quantum Signatures of Solar System Dynamics
61 pages, revised and updated
null
null
null
physics.gen-ph physics.space-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let w(i) be a period of rotation of the i-th planet around the Sun (or w(j;i) be a period of rotation of j-th satellite around the i-th planet). From empirical observations it is known that the sum of n(i)w(i)=0 (or the sum of n(j)w(j;i)=0) for some integers n(i) (or n(j)), different for different satellite systems. These conditions, known as resonance conditions, make uses of theories such as KAM difficult to implement. The resonances in Solar System are similar to those encountered in old quantum mechanics where applications of methods of celestial mechanics to atomic and molecular physics were highly sucsessful. With such a success, the birth of new quantum mechanics is difficult to understand. In short, the rationale for its birth lies in simplicity with which the same type of calculations are done using new methods capable of taking care of resonances. The solution of quantization puzzle was found by Heisenberg. In this paper new uses of Heisenberg's ideas are found. When superimposed with the equivalence principle of general relativity, they lead to quantum mechanical tratment of observed resonances in Solar System. To test correctness of our theoretical predictions the number of allowed stable orbits for planets and for equatorial stable orbits of satellites of heavy planets is calculated resulting in good agreement with observational data. In addition, the paper briefly discusses quantum mechanical nature of rings of heavy planets and potential usefulness of the obtained results for cosmology.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:43:15 GMT" }, { "version": "v2", "created": "Wed, 1 Aug 2007 20:53:50 GMT" }, { "version": "v3", "created": "Thu, 20 Sep 2007 21:30:23 GMT" }, { "version": "v4", "created": "Fri, 17 Oct 2008 22:26:27 GMT" } ]
2008-10-18T00:00:00
[ [ "Kholodenko", "Arkady L.", "" ] ]
0707.3993
Alexander Smirnov
A. V. Smirnov, V. A. Smirnov
On the reduction of Feynman integrals to master integrals
8 pages, proceedings of ACAT07
PoSACAT2007:085,2007
null
null
hep-ph
null
The reduction of Feynman integrals to master integrals is an algebraic problem that requires algorithmic approaches at the modern level of calculations. Straightforward applications of the classical Buchberger algorithm to construct Groebner bases seem to be inefficient. An essential modification designed especially for this problem has been worked out. It has been already applied in two- and three-loop calculations. We are also suggesting to combine our method with the Laporta's algorithm.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:45:16 GMT" } ]
2008-12-18T00:00:00
[ [ "Smirnov", "A. V.", "" ], [ "Smirnov", "V. A.", "" ] ]
0707.3994
Boris V. Fine
Boris V. Fine and Takeshi Egami
Phase separation in the vicinity of "quantum critical" doping concentration: implications for high temperature superconductors
null
Phys. Rev. B 77, 014519 (2008)
10.1103/PhysRevB.77.014519
null
cond-mat.str-el cond-mat.stat-mech cond-mat.supr-con
null
A general quantitative measure of the tendency towards phase separation is introduced for systems exhibiting phase transitions or crossovers controlled by charge carrier concentration. This measure is devised for the situations when the quantitative knowledge of various contributions to free energy is incomplete, and is applied to evaluate the chances of electronic phase separation associated with the onset of antiferromagnetic correlations in high-temperature cuprate superconductors. The experimental phenomenology of lanthanum- and yittrium-based cuprates was used as input to this analysis. It is also pointed out that Coulomb repulsion between charge carriers separated by the distances of 1-3 lattice periods strengthens the tendency towards phase separation by accelerating the decay of antiferromagnetic correlations with doping. Overall, the present analysis indicates that cuprates are realistically close to the threshold of phase separation -- nanoscale limited or even macroscopic with charge density varying between adjacent crystal planes.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:49:09 GMT" } ]
2011-05-02T00:00:00
[ [ "Fine", "Boris V.", "" ], [ "Egami", "Takeshi", "" ] ]
0707.3995
Kam Tuen Law
K. T. Law
Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State
10 pages, 6 figures
Phys. Rev. B 77, 205310 (2008)
10.1103/PhysRevB.77.205310
null
cond-mat.mes-hall
null
The tunneling current and shot noise of the current between two Fractional Quantum Hall (FQH) edges in the $ \nu=12/5 $ FQH state in electronic Mach-Zehnder interferometer are studied. It is shown that the tunneling current and shot noise can be used to probe the existence of $k=3 $ parafermion statistics in the $ \nu=12/5 $ FQH state. More specifically, the dependence of the current on the Aharonov-Bohm flux in the Read-Rezayi state is asymmetric under the change of the sign of the applied voltage. This property is absent in the Abelian Laughlin states. Moreover the Fano factor can exceed 12.7 electron charges in the $ \nu=12/5 $ FQH state . This number well exceeds the maximum possible Fano factor in all Laughlin states and the $ \nu=5/2 $ Moore-Read state which was shown previously to be $ e $ and $ 3.2 e $ respectively.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:50:17 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 04:28:45 GMT" }, { "version": "v3", "created": "Tue, 15 Jan 2008 18:07:48 GMT" } ]
2011-10-21T00:00:00
[ [ "Law", "K. T.", "" ] ]
0707.3996
Jean-Marc Richard
J. Vijande, A. Valcarce and J.-M. Richard
Stability of multiquarks in a simple string model
4 pages, 2 figures, Refs. added, typos corrected, discussion improved, to appear in Phys. Rev. D
Phys.Rev.D76:114013,2007
10.1103/PhysRevD.76.114013
null
hep-ph nucl-th
null
A simple string model inspired by the strong-coupling regime of Quantum ChromoDynamics is used as a potential for studying the spectrum of multiquark systems with two quarks and two antiquarks, with a careful treatment of the four-body problem. It is found that the ground state is stable, lying below the threshold for dissociation into two isolated mesons.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:55:22 GMT" }, { "version": "v2", "created": "Wed, 24 Oct 2007 14:08:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Vijande", "J.", "" ], [ "Valcarce", "A.", "" ], [ "Richard", "J. -M.", "" ] ]
0707.3997
Peter Tamburello
D0 Collaboration: V. Abazov, et al
Search for Bs --> mu+ mu- at D0
submitted to PRD-RC
Phys.Rev.D76:092001,2007
10.1103/PhysRevD.76.092001
FERMILAB-PUB-07-395-E
hep-ex
null
We report results from a search for the decay Bs --> mu+ mu- using 1.3/fb of pbar p collisions at sqrt(s)= 1.96 TeV collected by the D0 experiment at the Fermilab Tevatron Collider. We find two candidate events, consistent with the expected background of 1.24 +/- 0.99, and set an upper limit on the branching fraction of B(Bs --> mu+ mu-) < 1.2e-7 at the 95% C.L.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:57:06 GMT" } ]
2008-11-26T00:00:00
[ [ "D0 Collaboration", "", "" ], [ "Abazov", "V.", "" ] ]
0707.3998
Joshua Simon
Joshua D. Simon (Caltech), Alberto D. Bolatto (UC Berkeley), Barbara A. Whitney (Space Science Institute), Thomas P. Robitaille (SUPA, St. Andrews), Ronak Y. Shah (Boston University), David Makovoz (Spitzer Science Center), Snezana Stanimirovic (Wisconsin), Rodolfo H. Barba (Universidad de La Serena), and Monica Rubio (Universidad de Chile)
The Spitzer Survey of the Small Magellanic Cloud: Discovery of Embedded Protostars in the HII Region NGC 346
13 pages, 5 figures (3 in color), 2 tables. Accepted for publication in ApJ
Astrophys.J.669:327-336,2007
10.1086/521544
null
astro-ph
null
We use Spitzer Space Telescope observations from the Spitzer Survey of the Small Magellanic Cloud (S3MC) to study the young stellar content of N66, the largest and brightest HII region in the SMC. In addition to large numbers of normal stars, we detect a significant population of bright, red infrared sources that we identify as likely to be young stellar objects (YSOs). We use spectral energy distribution (SED) fits to classify objects as ordinary (main sequence or red giant) stars, asymptotic giant branch stars, background galaxies, and YSOs. This represents the first large-scale attempt at blind source classification based on Spitzer SEDs in another galaxy. We firmly identify at least 61 YSOs, with another 50 probable YSOs; only one embedded protostar in the SMC was reported in the literature prior to the S3MC. We present color selection criteria that can be used to identify a relatively clean sample of YSOs with IRAC photometry. Our fitted SEDs indicate that the infrared-bright YSOs in N66 have stellar masses ranging from 2 Msun to 17 Msun, and that approximately half of the objects are Stage II protostars, with the remaining YSOs roughly evenly divided between Stage I and Stage III sources. We find evidence for primordial mass segregation in the HII region, with the most massive YSOs being preferentially closer to the center than lower-mass objects. Despite the low metallicity and dust content of the SMC, the observable properties of the YSOs appear consistent with those in the Milky Way. Although the YSOs are heavily concentrated within the optically bright central region of N66, there is ongoing star formation throughout the complex and we place a lower limit on the star formation rate of 3.2 x 10^-3 Msun/yr over the last ~1 Myr.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:00:03 GMT" } ]
2008-11-26T00:00:00
[ [ "Simon", "Joshua D.", "", "Caltech" ], [ "Bolatto", "Alberto D.", "", "UC Berkeley" ], [ "Whitney", "Barbara A.", "", "Space Science Institute" ], [ "Robitaille", "Thomas P.", "", "SUPA, St.\n Andrews" ], [ "Shah", "Ronak Y.", "", "Boston University" ], [ "Makovoz", "David", "", "Spitzer Science\n Center" ], [ "Stanimirovic", "Snezana", "", "Wisconsin" ], [ "Barba", "Rodolfo H.", "", "Universidad de\n La Serena" ], [ "Rubio", "Monica", "", "Universidad de Chile" ] ]
0707.3999
Joseph D. Lykken
Gabriela Barenboim and Joseph D. Lykken
Quintessence, inflation and baryogenesis from a single pseudo-Nambu-Goldstone boson
16 pages, 3 color figures
JHEP 0710:032,2007
10.1088/1126-6708/2007/10/032
FERMILAB-PUB-07-211-T, FTUV 07-0618
astro-ph
null
We exhibit a model in which a single pseudo-Nambu-Goldstone boson explains dark energy, inflation and baryogenesis. The model predicts correlated signals in future collider experiments, WIMP searches, proton decay experiments, dark energy probes, and the PLANCK satellite CMB measurements.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:00:05 GMT" } ]
2014-11-18T00:00:00
[ [ "Barenboim", "Gabriela", "" ], [ "Lykken", "Joseph D.", "" ] ]
0707.4000
David Gross
D. Gross, M. Van den Nest
The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2)
24 pages. Reference added
Quantum Inf. Comput. 8, 263 (2008)
null
null
quant-ph
null
We report progress on the LU-LC conjecture - an open problem in the context of entanglement in stabilizer states (or graph states). This conjecture states that every two stabilizer states which are related by a local unitary operation, must also be related by a local operation within the Clifford group. The contribution of this paper is a reduction of the LU-LC conjecture to a simpler problem - which, however, remains to date unsolved. As our main result, we show that, if the LU-LC conjecture could be proved for the restricted case of diagonal local unitary operations, then the conjecture is correct in its totality. Furthermore, the reduced version of the problem, involving such diagonal local operations, is mapped to questions regarding quadratic forms over the finite field GF(2). Finally, we prove that correctness of the LU-LC conjecture for stabilizer states implies a similar result for the more general case of stabilizer codes.
[ { "version": "v1", "created": "Fri, 27 Jul 2007 18:24:06 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 10:04:55 GMT" } ]
2007-12-17T00:00:00
[ [ "Gross", "D.", "" ], [ "Nest", "M. Van den", "" ] ]
0707.4001
Renato A. Dupke
Renato A. Dupke (University of Michigan, Ann Arbor), Raymond E. White III (University of Alabama, Tuscaloosa), Joel N. Bregman (University of Michigan, Ann Arbor)
Different Methods of Forming Cold Fronts in Non-Merging Clusters
11 ApJ pages, 1 Table, 16 Figures, accepted for publication in the Astrophysical Journal. For full version with all hi-res figures click on http://www.astro.lsa.umich.edu/~rdupke/a496sub.pdf
null
10.1086/522194
null
astro-ph
null
Sharp edges in X-ray surface brightness with continuous gas pressure called cold fronts have been often found in relaxed galaxy clusters such as Abell 496. Models that explain cold fronts as surviving cores of head-on subcluster mergers do not work well for these clusters and competing models involving gas sloshing have been recently proposed. Here, we test some concrete predictions of these models in a combined analysis of density, temperature, metal abundances and abundance ratios in a deep Chandra exposure of Abell 496. We confirm that the chemical discontinuities found in this cluster are not consistent with a core merger remnant scenario. However, we find chemical gradients across a spiral "arm" discovered at 73 kpc north of the cluster center and coincident with the sharp edge of the main cold front in the cluster. Despite the overall SN Ia iron mass fraction dominance found within the cooling radius of this cluster, the metal enrichment along the arm, determined from silicon and iron abundances, is consistent with a lower SN Ia iron mass fraction (51% +- 14%) than that measured in the surrounding regions (85% +- 14%). The "arm" is also significantly colder than the surroundings by 0.5-1.6 keV. The arm extends from a boxy colder region surrounding the center of the cluster, where two other cold fronts are found. This cold arm is a prediction of current high resolution numerical simulations as a result of an off-center encounter with a less massive pure dark matter halo and we suggest that the cold fronts in A496 provide the first clear corroboration of such model, where the closest encounter happened ~ 0.5 Gyr ago. We also argue for a possible candidate dark matter halo responsible for the cold fronts in the outskirts of A496.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:04:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Dupke", "Renato A.", "", "University of Michigan, Ann Arbor" ], [ "White", "Raymond E.", "III", "University of Alabama, Tuscaloosa" ], [ "Bregman", "Joel N.", "", "University of\n Michigan, Ann Arbor" ] ]
0707.4002
Kieran Cleary
Kieran Cleary (1), Charles R. Lawrence (1), Jason A. Marshall (1), Lei Hao (2) and David Meier (1) ((1) Caltech/JPL (2) Cornell University)
Spitzer Observations of Powerful Radio Sources
4 pages, 2 figures. To appear in "The Central Engine of Active Galactic Nuclei", ed. L.C. Ho and J.-M. Wang, ASP Conference Series
null
null
null
astro-ph
null
We have measured the mid-infrared radiation from an orientation-unbiased sample of powerful 3C RR galaxies and quasars using the IRS and MIPS instruments aboard the Spitzer Space Telescope. We fit the Spitzer data as well as other measurements from the literature with synchrotron and dust components. At 15 microns, quasars are typically four times brighter than radio galaxies with the same isotropic radio power. Based on our fits, half of this difference can be attributed to the presence of non-thermal emission in the quasars but not the radio galaxies. The other half is consistent with dust absorption in the radio galaxies but not the quasars.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:18:28 GMT" } ]
2007-07-30T00:00:00
[ [ "Cleary", "Kieran", "", "Caltech/JPL" ], [ "Lawrence", "Charles R.", "", "Caltech/JPL" ], [ "Marshall", "Jason A.", "", "Caltech/JPL" ], [ "Hao", "Lei", "", "Cornell University" ], [ "Meier", "David", "", "Caltech/JPL" ] ]
0707.4003
Andrey Lazarev
Alastair Hamilton and Andrey Lazarev
Symplectic $A_\infty$-algebras and string topology operations
Due to a strange glitch in the original submission a wrong TeX file was uploaded; this version hopefully corrects this error. This paper is a revision of the part of math.QA/0410621 which deals with string topology type operations and can be read independently. 9 pages
null
null
null
math.QA math.AT
null
In this paper we establish the existence of certain structures on the ordinary and equivariant homology of the free loop space on a manifold or, more generally, a formal Poincar\'e duality space. These structures; namely the loop product, the loop bracket and the string bracket, were introduced and studied by Chas and Sullivan under the general heading `string topology'. Our method is based on obstruction theory for $C_\infty$-algebras and rational homotopy theory. The resulting string topology operations are manifestly homotopy invariant.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:45:42 GMT" }, { "version": "v2", "created": "Wed, 15 Aug 2007 15:26:02 GMT" } ]
2007-08-15T00:00:00
[ [ "Hamilton", "Alastair", "" ], [ "Lazarev", "Andrey", "" ] ]
0707.4004
Hongyuan Jiang
Hongyuan Jiang, Greg Huber, Robert A. Pelcovits and Thomas R. Powers
Vesicle shape, molecular tilt, and the suppression of necks
10 pages, 7 figures, submitted to Phy. Rew. E
null
10.1103/PhysRevE.76.031908
null
cond-mat.soft
null
Can the presence of molecular-tilt order significantly affect the shapes of lipid bilayer membranes, particularly membrane shapes with narrow necks? Motivated by the propensity for tilt order and the common occurrence of narrow necks in the intermediate stages of biological processes such as endocytosis and vesicle trafficking, we examine how tilt order inhibits the formation of necks in the equilibrium shapes of vesicles. For vesicles with a spherical topology, point defects in the molecular order with a total strength of $+2$ are required. We study axisymmetric shapes and suppose that there is a unit-strength defect at each pole of the vesicle. The model is further simplified by the assumption of tilt isotropy: invariance of the energy with respect to rotations of the molecules about the local membrane normal. This isotropy condition leads to a minimal coupling of tilt order and curvature, giving a high energetic cost to regions with Gaussian curvature and tilt order. Minimizing the elastic free energy with constraints of fixed area and fixed enclosed volume determines the allowed shapes. Using numerical calculations, we find several branches of solutions and identify them with the branches previously known for fluid membranes. We find that tilt order changes the relative energy of the branches, suppressing thin necks by making them costly, leading to elongated prolate vesicles as a generic family of tilt-ordered membrane shapes.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:14:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Jiang", "Hongyuan", "" ], [ "Huber", "Greg", "" ], [ "Pelcovits", "Robert A.", "" ], [ "Powers", "Thomas R.", "" ] ]
0707.4005
Philip Hopkins
Philip F. Hopkins (1), Lars Hernquist (1), Thomas J. Cox (1), Brant Robertson (2), Elisabeth Krause (3) ((1) CfA, (2) KICP, U. Chicago, (3) Universitat Bonn)
An Observed Fundamental Plane Relation for Supermassive Black Holes
7 pages, 4 figures, accepted to ApJ. Companion paper to astro-ph/0701351
Astrophys.J. 669 (2007) 67-73
10.1086/521601
null
astro-ph
null
We study observed correlations between supermassive black hole (BHs) and the properties of their host galaxies, and show that the observations define a BH 'fundamental plane' (BHFP), of the form M_BH sigma^(3.0+-0.3)*R_e^(0.43+-0.19), or M_BH M_bulge^(0.54+-0.17)*sigma^(2.2+-0.5), analogous to the FP of elliptical galaxies. The BHFP is preferred over a simple relation between M_BH and any of sigma, M_bulge, M_dyn, or R_e alone at >99.9% significance. The existence of this BHFP has important implications for the formation of supermassive BHs and the masses of the very largest black holes, and immediately resolves several apparent conflicts between the BH masses expected and measured for outliers in both the M_BH-sigma and M_BH-M_bulge relations.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:15:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Hopkins", "Philip F.", "" ], [ "Hernquist", "Lars", "" ], [ "Cox", "Thomas J.", "" ], [ "Robertson", "Brant", "" ], [ "Krause", "Elisabeth", "" ] ]
0707.4006
Stepanyantz Konstantin
A. B. Pimenov, K. V. Stepanyantz
Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
17 pages, 3 eps figures
Theor.Math.Phys.155:848-861,2008
10.1007/s11232-008-0072-1
null
hep-th
null
Two-loop Gell-Mann-Low function is calculated for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:15:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Pimenov", "A. B.", "" ], [ "Stepanyantz", "K. V.", "" ] ]
0707.4007
Egon Schulte
Barry Monson and Egon Schulte
Reflection Groups and Polytopes over Finite Fields, III
Advances in Applied Mathematics (to appear); 19 pages
null
null
null
math.CO math.MG
null
When the standard representation of a crystallographic Coxeter group is reduced modulo an odd prime p, one obtains a finite group G^p acting on some orthogonal space over Z_p . If the Coxeter group has a string diagram, then G^p will often be the automorphism group of a finite abstract regular polytope. In parts I and II we established the basics of this construction and enumerated the polytopes associated to groups of rank at most 4, as well as all groups of spherical or Euclidean type. Here we extend the range of our earlier criteria for the polytopality of G^p . Building on this we investigate the class of 3-infinity groups of general rank, and then complete a survey of those locally toroidal polytopes which can be described by our construction.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:17:03 GMT" } ]
2007-07-30T00:00:00
[ [ "Monson", "Barry", "" ], [ "Schulte", "Egon", "" ] ]
0707.4008
Chang-Hwan Lee
G. E. Brown, C. -H. Lee, E. Moreno Mendez
GRBs and Hypernova Explosions of Some Galactic Sources
5 pages, 1 figures
null
10.1086/525250
null
astro-ph
null
Knowing the Kerr parameters we can make quantitative calculations of the rotational energy of black holes. We show that Nova Sco (GRO J1655 - 40), Il Lupi (4U 1543 - 47), XTE J1550 - 564 and GS 2023 + 338 are relics of gamma-ray burst (GRB) and Hypernova explosions. They had more than enough rotational energy to power themselves. In fact, they had so much energy that they would have disrupted the accretion disk of the black hole that powered them by the communicated rotational energy, so that the energy delivery was self limiting. The most important feature in producing high rotational energy in the binary is low donor (secondary star) mass. We suggest that V4641 Sgr (XTE J1819 - 254) and GRS 1915 + 105 underwent less energetic explosions; because of their large donor masses. These explosions were one or two orders of magnitude lower in energy than that of Nova Sco. Cyg X - 1 (1956 + 350) had an even less energetic explosion, because of an even larger donor mass. We find that in the evolution of the soft X-ray transient sources the donor (secondary star) is tidally locked with the helium star, which evolved from the giant, as the hydrogen envelope is stripped off in common envelope evolution. The tidal locking is transferred from the helium star to the black hole into which it falls. Depending on the mass of the donor, the black hole can be spun up to the angular momentum necessary to power the GRB and Hypernova explosion. The donor decouples, acting as a passive witness to the explosion which, for the given angular momentum, then proceeds as in the Woosley Collapsar model. High mass donors which tend to follow from low metallicity give long GRBs because their lower energy can be accepted by the central engine.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 23:58:06 GMT" }, { "version": "v2", "created": "Mon, 29 Oct 2007 14:56:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Brown", "G. E.", "" ], [ "Lee", "C. -H.", "" ], [ "Mendez", "E. Moreno", "" ] ]
0707.4009
Xianglin Ke
X. Ke, B. G. Ueland, D.V. West, M. L. Dahlberg, R. J. Cava, and P. Schiffer
Spin ice behavior in Dy2Sn2-xSbxO7+x/2 and Dy2NbScO7
null
Phys. Rev. B 76, 214413 (2007)
10.1103/PhysRevB.76.214413
null
cond-mat.str-el cond-mat.mtrl-sci
null
We report the magnetic and thermal properties of Dy2Sn2-xSbxO7+x/2, x = 0, 0.25, and 0.5, and Dy2NbScO7. We find evidence for Ising-like single ion ground states in the Dy2Sn2-xSbxO7+x/2 materials. These materials possess nearly the same zero point entropy as the canonical spin ices Ho2Ti2O7 and Dy2Ti2O7, strongly suggesting that they have spin ice states at low temperatures. We also observe a somewhat reduced zero point entropy in Dy2NbScO7, which is possibly associated with the higher level of cation disorder. The ice-like states in these materials with cation disorder on the B-sites of the pyrochlore lattice provide new evidence for the robust nature of spin ice behavior in the presence of disorder.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:30:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Ke", "X.", "" ], [ "Ueland", "B. G.", "" ], [ "West", "D. V.", "" ], [ "Dahlberg", "M. L.", "" ], [ "Cava", "R. J.", "" ], [ "Schiffer", "P.", "" ] ]
0707.4010
Maximiliano Ujevic
Maximiliano Ujevic, Patricio S. Letelier
Stability of general relativistic Miyamoto-Nagai galaxies
11 pages, 5 figures, accepted for publication in MNRAS
MNRAS 381, 1499-1507 (2007)
10.1111/j.1365-2966.2007.12242.x
null
gr-qc astro-ph
null
The stability of a recently proposed general relativistic model of galaxies is studied in some detail. This model is a general relativistic version of the well known Miyamoto-Nagai model that represents well a thick galactic disk. The stability of the disk is investigated under a general first order perturbation keeping the spacetime metric frozen (no gravitational radiation is taken into account). We find that the stability is associated with the thickness of the disk. We have that flat galaxies have more not-stable modes than the thick ones i.e., flat galaxies have a tendency to form more complex structures like rings, bars and spiral arms.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 20:39:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Ujevic", "Maximiliano", "" ], [ "Letelier", "Patricio S.", "" ] ]
0707.4011
Jonathan Heckman
Jonathan J. Heckman and Cumrun Vafa
Geometrically Induced Phase Transitions at Large N
47 pages, 7 figures
JHEP0804:052,2008
10.1088/1126-6708/2008/04/052
null
hep-th
null
Utilizing the large N dual description of a metastable system of branes and anti-branes wrapping rigid homologous S^2's in a non-compact Calabi-Yau threefold, we study phase transitions induced by changing the positions of the S^2's. At leading order in 1/N the effective potential for this system is computed by the planar limit of an auxiliary matrix model. Beginning at the two loop correction, the degenerate vacuum energy density of the discrete confining vacua split, and a potential is generated for the axion. Changing the relative positions of the S^2's causes discrete jumps in the energetically preferred confining vacuum and can also obstruct direct brane/anti-brane annihilation processes. The branes must hop to nearby S^2's before annihilating, thus significantly increasing the lifetime of the corresponding non-supersymmetric vacua. We also speculate that misaligned metastable glueball phases may generate a repulsive inter-brane force which stabilizes the radial mode present in compact Calabi-Yau threefolds.
[ { "version": "v1", "created": "Fri, 27 Jul 2007 13:51:52 GMT" } ]
2008-11-26T00:00:00
[ [ "Heckman", "Jonathan J.", "" ], [ "Vafa", "Cumrun", "" ] ]
0707.4012
Parthapratim Biswas
Parthapratim Biswas, Raymond Atta-Fynn, S. Chakraborty, D.A.Drabold
Real space information from Fluctuation electron microscopy: Applications to amorphous silicon
13 pages, 10 figures, invited paper for the workshop on Nanoscale Order in Amorphous and Partially ordered Solids, Trinity College, Cambridge, UK
null
10.1088/0953-8984/19/45/455202
null
cond-mat.dis-nn cond-mat.mtrl-sci
null
Ideal models of complex materials must satisfy all available information about the system. Generally, this information consists of experimental data, information implicit to sophisticated interatomic interactions and potentially other {\it a priori} information. By jointly imposing first-principles or tight-binding information in conjunction with experimental data, we have developed a method: Experimentally Constrained Molecular Relaxation (ECMR) that uses {\it all} of the information available. We apply the method to model medium range order in amorphous silicon using Fluctuation Electron microscopy (FEM) data as experimental information. The paracrystalline model of medium range order is examined, and a new model based on voids in amorphous silicon is proposed. Our work suggests that films of amorphous silicon showing medium range order (in FEM experiments) can be accurately represented by a continuous random network model with inhomogeneities consisting of ordered grains and voids dispersed in the network.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:15:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Biswas", "Parthapratim", "" ], [ "Atta-Fynn", "Raymond", "" ], [ "Chakraborty", "S.", "" ], [ "Drabold", "D. A.", "" ] ]
0707.4013
Richard Wigmans
N. Akchurin, et al
Contributions of Cherenkov Light to the Signals from Lead Tungstate Crystals
Preprint submitted to Nucl. Instr. and Meth. on July 13, 2007
null
10.1016/j.nima.2007.08.174
null
physics.ins-det
null
Results are presented of detailed measurements of the signals generated by high-energy electrons and muons in lead tungstate crystals. A significant fraction of the light produced in these crystals and detected by photomultiplier tubes is the result of the \v{C}erenkov mechanism. This is concluded from the angular dependence of the signals and from their time structure. Depending on the orientation of the crystals and on the particle type, \v{C}erenkov light may account for up to 15% of the total signals.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:23:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Akchurin", "N.", "" ] ]
0707.4014
Michael Dennin
M. Lundberg, K. Krishan, N. Xu, C. S. O'Hern, and M. Dennin
Reversible plasticity in amorphous materials
Revised paper
Phys. Rev. E 77, 041505 (2008)
10.1103/PhysRevE.77.041505
null
cond-mat.soft cond-mat.mtrl-sci
null
A fundamental assumption in our understanding of material rheology is that when microscopic deformations are reversible, the material responds elastically to external loads. Plasticity, i.e. dissipative and irreversible macroscopic changes in a material, is assumed to be the consequence of irreversible microscopic events. Here we show direct evidence for reversible plastic events at the microscopic scale in both experiments and simulations of two-dimensional foam. In the simulations, we demonstrate a link between reversible plastic rearrangement events and pathways in the potential energy landscape of the system. These findings represent a fundamental change in our understanding of materials--microscopic reversibility does not necessarily imply elasticity.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:25:10 GMT" }, { "version": "v2", "created": "Thu, 13 Sep 2007 15:53:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Lundberg", "M.", "" ], [ "Krishan", "K.", "" ], [ "Xu", "N.", "" ], [ "O'Hern", "C. S.", "" ], [ "Dennin", "M.", "" ] ]
0707.4015
Maciej Trzetrzelewski
Maciej Trzetrzelewski
Supersymmetry and Lie groups
12 pages, to appear in Journal of Mathematical Physics
J.Math.Phys.48:083508,2007
10.1063/1.2771418
null
math-ph math.MP
null
We construct all vacuum states of $\mathcal{N}=2$ supersymmetric Yang-Mills quantum mechanics (for SU(N) group) and discuss their origin from the SU(N) real cohomology.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:25:20 GMT" } ]
2008-11-26T00:00:00
[ [ "Trzetrzelewski", "Maciej", "" ] ]
0707.4016
Jeff McIntire
Jeff McIntire, Ying Hu and Brian D. Serot (Indiana U.)
Loop Corrections and Naturalness in a Chiral Effective Field Theory
22 pages, 6 figures
Nucl.Phys.A794:166-186,2007
10.1016/j.nuclphysa.2007.08.008
null
nucl-th
null
The loop expansion is applied to a chiral effective hadronic lagrangian; with the techniques of Infrared Regularization, it is possible to separate out the short-range contributions and to write them as local products of fields that are already present in our lagrangian. (The appropriate field variables must be re-defined at each order in loops.) The corresponding parameters implicitly include short-range effects to all orders in the interaction, so these effects need not be calculated explicitly. The remaining (long-range) contributions that must be calculated are nonlocal and resemble those in conventional nuclear-structure calculations. Nonlinear isoscalar scalar $(\sigma)$ and vector $(\omega)$ meson interactions are included, which incorporate many-nucleon forces and nucleon substructure. Calculations are carried out at the two-loop level to illustrate these techniques at finite nuclear densities and to verify that the coupling parameters remain natural when fitted to the empirical properties of equilibrium nuclear matter. Contributions from the $\omega N$ tensor coupling are also discussed.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:30:37 GMT" }, { "version": "v2", "created": "Thu, 9 Aug 2007 19:09:08 GMT" }, { "version": "v3", "created": "Thu, 23 Aug 2007 17:58:48 GMT" } ]
2008-11-26T00:00:00
[ [ "McIntire", "Jeff", "", "Indiana U." ], [ "Hu", "Ying", "", "Indiana U." ], [ "Serot", "Brian D.", "", "Indiana U." ] ]
0707.4017
Israel Klich
Oded Kenneth and Israel Klich
Casimir forces in a T operator approach
null
Phys. Rev. B 78, 014103 (2008)
10.1103/PhysRevB.78.014103
null
quant-ph cond-mat.stat-mech hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators, as presented in Kenneth and Klich, Phys. Rev. Lett. 97, 160401 (2006). We study the convergence properties of the formula and how to utilize it, together with scattering data to compute the force. We illustrate the approach by describing the force between scatterers in 1d and 3d,, and in particular show how it may be applied in order to study the interaction between two spherical bodies at all distances.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:35:49 GMT" }, { "version": "v2", "created": "Sun, 21 Dec 2008 14:00:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Kenneth", "Oded", "" ], [ "Klich", "Israel", "" ] ]
0707.4018
Michael A. Clark
J. Brannick, R. C. Brower, M. A. Clark, J. C. Osborn, C. Rebbi
Adaptive Multigrid Algorithm for Lattice QCD
4 pages, 2 figures
Phys.Rev.Lett.100:041601,2008
10.1103/PhysRevLett.100.041601
null
hep-lat
null
We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields. The key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space. The resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit. Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger model.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:37:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Brannick", "J.", "" ], [ "Brower", "R. C.", "" ], [ "Clark", "M. A.", "" ], [ "Osborn", "J. C.", "" ], [ "Rebbi", "C.", "" ] ]
0707.4019
Richard Wigmans
N. Akchurin, et al
Measurement of the Contribution of Neutrons to Hadron Calorimeter Signals
Preprint submitted to Nucl. Instr. and Meth. on July 24, 2007
Nucl.Instrum.Meth.A581:643-650,2007
10.1016/j.nima.2007.08.049
null
physics.ins-det
null
The contributions of neutrons to hadronic signals from the DREAM calorimeter are measured by analyzing the time structure of these signals. The neutrons, which mainly originate from the evaporation stage of nuclear breakup in the hadronic shower development process, contribute through elastic scattering off protons in the plastic scintillating fibers which provide the $dE/dx$ information in this calorimeter. This contribution is characterized by an exponential tail in the pulse shape, with a time constant of $\sim 25$ ns. The relative contribution of neutrons to the signals increases with the distance from the shower axis. As expected, the neutrons do not contribute to the DREAM \v{C}erenkov signals.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:37:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Akchurin", "N.", "" ] ]
0707.4020
Randy Kobes
D. Ostapchuk, G. Passante, R. Kobes, G. Kunstatter
Geometric measures of entanglement and the Schmidt decomposition
7 pages, latex, 1 figure; changed emphasis to Schmidt decomposition
null
null
null
quant-ph
null
In the standard geometric approach to a measure of entanglement of a pure state, $\sin^2\theta$ is used, where $\theta$ is the angle between the state to the closest separable state of products of normalized qubit states. We consider here a generalization of this notion to separable states consisting of products of unnormalized states of different dimension. In so doing, the entanglement measure $\sin^2\theta$ is found to have an interpretation as the distance between the state to the closest separable state. We also find the components of the closest separable state and its norm have an interpretation in terms of, respectively, the eigenvectors and eigenvalues of the reduced density matrices arising in the Schmidt decomposition of the state vector.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:44:34 GMT" }, { "version": "v2", "created": "Sun, 9 Sep 2007 21:16:46 GMT" } ]
2007-09-10T00:00:00
[ [ "Ostapchuk", "D.", "" ], [ "Passante", "G.", "" ], [ "Kobes", "R.", "" ], [ "Kunstatter", "G.", "" ] ]
0707.4021
Richard Wigmans
N. Akchurin, et al
Dual-Readout Calorimetry with Lead Tungstate Crystals
Preprint submitted to Nucl. Instrum. Meth. on July 23, 2007
Nucl.Instrum.Meth.A584:273-284,2008
10.1016/j.nima.2007.09.035
null
physics.ins-det
null
Results are presented of beam tests in which a small electromagnetic calorimeter consisting of lead tungstate crystals was exposed to 50 GeV electrons and pions. This calorimeter was backed up by the DREAM Dual-Readout calorimeter, which measures the scintillation and \v{C}erenkov light produced in the shower development, using two different media. The signals from the crystal calorimeter were analyzed in great detail in an attempt to determine the contributions from these two types of light to the signals, event by event. This information makes it possible to eliminate the dominating source of fluctuations and thus achieve an important improvement in hadronic calorimeter performance.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 21:53:59 GMT" } ]
2008-11-26T00:00:00
[ [ "Akchurin", "N.", "" ] ]
0707.4022
Hartmut Hafermann
H. Hafermann, S. Brener, A. N. Rubtsov, M. I. Katsnelson and A. I. Lichtenstein
Cluster Dual Fermion Approach to Nonlocal Correlations
null
JETP Lett. 86, 677-682 (2007)
10.1134/S0021364007220134
null
cond-mat.str-el
null
We formulate a general cluster Dual Fermion Approach to nonlocal correlations in crystals. The scheme allows the treatment of long-range correlations beyond cluster DMFT and nonlocal effects in realistic calculations of multiorbital systems. We show that the the simplest approximation exactly corresponds to free cluster DMFT. We further consider the relation between the two-particle Green functions in real and dual variables. We apply this approach by calculating the Green function of the Hubbard model in one dimension starting from the two-site cluster DMFT solution. The result agrees well with the Green function obtained from a DMRG calculation.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 22:06:47 GMT" } ]
2015-05-13T00:00:00
[ [ "Hafermann", "H.", "" ], [ "Brener", "S.", "" ], [ "Rubtsov", "A. N.", "" ], [ "Katsnelson", "M. I.", "" ], [ "Lichtenstein", "A. I.", "" ] ]
0707.4023
Paul J. Wiita
Gopal-Krishna, Samir Dhurde, Pronoy Sircar, Paul J. Wiita
Influence of the jet opening angle on the derived kinematical parameters of blazar jets having uniform and stratified bulk motion
8 pages, 4 figures, official version appeared in MNRAS
Mon.Not.Roy.Astron.Soc.377:446-452,2007
10.1111/j.1365-2966.2007.11633.x
null
astro-ph
null
We present analytical modelling of conical relativistic jets, in order to evaluate the role of the jet opening angle on certain key parameters that are inferred from VLBI radio observations of blazar nuclear jets. The key parameters evaluated are the orientation angle (i.e., the viewing angle) of the jet and the apparent speed and Doppler factor of the radio knots on parsec scales. Quantitative comparisons are made of the influence of the jet opening angle on the above parameters of the radio knots, as would be estimated for two widely discussed variants of relativistic nuclear jets, namely, those having uniform bulk speed and those in which the bulk Lorentz factor of the flow decreases with distance from the jet axis (a `spine--sheath' flow). Our analysis shows that for both types of jet velocity distributions the expectation value of the jet orientation angle at first falls dramatically with increases in the (central) jet Lorentz factor, but it levels off at a fraction of the opening angle for extremely relativistic jets. We also find that the effective values of the apparent speeds and Doppler factors of the knots always decline substantially with increasing jet opening angle, but that this effect is strongest for ultra-relativistic jets with uniform bulk speed. We suggest that the paucity of highly superluminal parsec-scale radio components in TeV blazars can be understood if their jets are highly relativistic and, being intrinsically weaker, somewhat less well collimated, in comparison to the jets in other blazars.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 22:13:09 GMT" } ]
2008-11-26T00:00:00
[ [ "Gopal-Krishna", "", "" ], [ "Dhurde", "Samir", "" ], [ "Sircar", "Pronoy", "" ], [ "Wiita", "Paul J.", "" ] ]
0707.4024
Vladimir V Kisil
Vladimir V. Kisil
Erlangen Program at Large--2: Inventing a wheel. The parabolic one
LaTeX paper (14 pages) and software documentation in an appendix (20 pages); two figures (five PS files)
Trans. Inst. Math. of the NAS of Ukraine, v. 7, n. 2, pp. 89--98, 2010
null
LEEDS-MATH-PURE-2007-07
math.GM math.RA math.RT
null
We discuss parabolic versions of Euler's identity e^{it}=cos t + i sin t. A purely algebraic approach based on dual numbers is known to produce a very trivial relation e^{pt} = 1+pt. Therefore we use a geometric setup of parabolic rotations to recover the corresponding non-trivial algebraic framework. Our main tool is Moebius transformations which turn out to be closely related to induced representations of the group SL(2,R). Keywords: complex numbers, dual numbers, double numbers, linear algebra, invariant, computer algebra, GiNaC
[ { "version": "v1", "created": "Fri, 27 Jul 2007 11:42:15 GMT" } ]
2010-11-25T00:00:00
[ [ "Kisil", "Vladimir V.", "" ] ]
0707.4025
Ashkbiz Danehkar PhD
A. Danehkar
On the Cohomological Derivation of Yang-Mills Theory in the Antifield Formalism
19 pages, few typos corrected, final version
JHEP Grav.Cosmol.3:368-387,2017
10.4236/jhepgc.2017.32031
null
physics.gen-ph
http://creativecommons.org/licenses/by/4.0/
We present a brief review of the cohomological solutions of self-coupling interactions of the fields in the free Yang-Mills theory. All consistent interactions among the fields have been obtained using the antifield formalism through several order BRST deformations of the master equation. It is found that the coupling deformations halt exclusively at the second order, whereas higher order deformations are obstructed due to non-local interactions. The results demonstrate the BRST cohomological derivation of the interacting Yang-Mills theory.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 23:17:11 GMT" }, { "version": "v2", "created": "Fri, 10 Aug 2007 12:56:42 GMT" }, { "version": "v3", "created": "Mon, 22 Dec 2008 03:17:38 GMT" }, { "version": "v4", "created": "Fri, 2 Jan 2009 14:21:49 GMT" }, { "version": "v5", "created": "Sat, 3 Jan 2009 14:00:12 GMT" }, { "version": "v6", "created": "Mon, 19 Oct 2009 05:52:53 GMT" }, { "version": "v7", "created": "Tue, 2 May 2017 09:27:09 GMT" }, { "version": "v8", "created": "Sat, 24 Jun 2017 17:46:42 GMT" } ]
2017-07-20T00:00:00
[ [ "Danehkar", "A.", "" ] ]
0707.4026
Theodore A. Jacobson
Ted Jacobson
Renormalization and black hole entropy in Loop Quantum Gravity
8 pages; v2: references added, typos corrected, version to appear in CQG
Class.Quant.Grav.24:4875-4879,2007
10.1088/0264-9381/24/18/N02
null
gr-qc hep-th
null
Microscopic state counting for a black hole in Loop Quantum Gravity yields a result proportional to horizon area, and inversely proportional to Newton's constant and the Immirzi parameter. It is argued here that before this result can be compared to the Bekenstein-Hawking entropy of a macroscopic black hole, the scale dependence of both Newton's constant and the area must be accounted for. The two entropies could then agree for any value of the Immirzi parameter, if a certain renormalization property holds.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 23:33:10 GMT" }, { "version": "v2", "created": "Sat, 25 Aug 2007 02:11:25 GMT" } ]
2010-10-27T00:00:00
[ [ "Jacobson", "Ted", "" ] ]
0707.4027
Hirotaka Ito
H. Ito, M. Kino, N. Kawakatu, N. Isobe, and S. Yamada
Large Kinetic Power in FRII Radio Jets
5 pages, accepted for publication in Astrophysics and Space Science
Astrophys.SpaceSci.311:335-339,2007
10.1007/s10509-007-9539-z
null
astro-ph
null
We investigate the total kinetic powers (L_{j}) and ages (t_{age}) of powerful jets of four FR II radio sources (Cygnus A, 3C 223, 3C 284, and 3C 219) by the detail comparison of the dynamical model of expanding cocoons with observed ones. It is found that these sources have quite large kinetic powers with the ratio of L_{j} to the Eddington luminosity (L_{Edd}) resides in $0.02 <L_{j}/L_{Edd} <10$. Reflecting the large kinetic powers, we also find that the total energy stored in the cocoon (E_{c}) exceed the energy derived from the minimum energy condition (E_{min}): $2< E_{c}/E_{min} <160$. This implies that a large amount of kinetic power is carried by invisible components such as thermal leptons (electron and positron) and/or protons.
[ { "version": "v1", "created": "Fri, 27 Jul 2007 00:00:57 GMT" } ]
2008-11-26T00:00:00
[ [ "Ito", "H.", "" ], [ "Kino", "M.", "" ], [ "Kawakatu", "N.", "" ], [ "Isobe", "N.", "" ], [ "Yamada", "S.", "" ] ]
0707.4028
Philip Fellman
Philip V. Fellman and Mark Strathern
The Symmetries and Redundancies of Terror: Patterns in the Dark, A study of Terrorist Network Strategy and Structure
13 pages, 3 figures. Proceedings of the 2004 annual meeting of the North American Association for Computation in the Social and Organizational Sciences
null
null
null
nlin.AO
null
Although much political capital has been made regarding the war on terrorism, and while appropriations have gotten underway, there has been a dearth of deep work on counter-terrorism, and despite massive efforts by the federal government, most cities and states do not have a robust response system. In fact, most do not yet have a robust audit system with which to evaluate their vulnerabilities or their responses. At the federal level there remain many unresolved problems of coordination. One reason for this is the shift of much of federal spending on war-fighting in Afghanistan and Iraq. While this approach has drawn deep and lasting criticism, it is, in fact, in accord with many principles of both military and corporate strategy. In the following paper we explore several models of terrorist networks and the implications of both the models and their substantive conclusions for combating terrorism.
[ { "version": "v1", "created": "Fri, 27 Jul 2007 00:07:11 GMT" } ]
2007-07-30T00:00:00
[ [ "Fellman", "Philip V.", "" ], [ "Strathern", "Mark", "" ] ]
0707.4029
Sergey Sergeev
S. M. Sergeev
Tetrahedron equations and nilpotent subalgebras of U_q(sl_n)
4 pages
null
10.1007/s11005-008-0219-x
null
math.QA
null
A relation between q-oscillator R-matrix of the tetrahedron equation and decompositions of Poinkare-Birkhoff-Witt type bases for nilpotent subalgebras of U_q(sl_n) is observed.
[ { "version": "v1", "created": "Fri, 27 Jul 2007 00:50:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Sergeev", "S. M.", "" ] ]