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# Title: Background-metric Independent Formulation of 4D Quantum Gravity

Abstract: Using the background-metric independence for the traceless mode as well as the conformal mode, 4D quantum gravity is described as a quantum field theory defined on a non-dynamical background-metric. The measure then induces an action with 4 derivatives. So we think that 4-th order gravity is essential and the Einstein-Hilbert term should be treated like a mass term. We introduce the dimensionless self-coupling constant t for the traceless mode. In this paper we study a model where the measure can be evaluated in the limit $t \to 0$ exactly, using the background-metric independence for the conformal mode. The t-dependence of the measure is determined perturbatively using the background-metric independence for the traceless mode.
 Comments: 27 pages, references added, some sentences added and corrected especially in sect.3 and 6; version to appear in Nucl. Phys. B Subjects: High Energy Physics - Theory (hep-th) Journal reference: Nucl.Phys. B553 (1999) 283-304 DOI: 10.1016/S0550-3213(99)00283-7 Cite as: arXiv:hep-th/9810095 (or arXiv:hep-th/9810095v4 for this version)

## Submission history

From: Kenji Hamada [view email]
[v1] Wed, 14 Oct 1998 07:07:50 GMT (18kb)
[v2] Mon, 19 Oct 1998 06:09:57 GMT (18kb)
[v3] Mon, 26 Oct 1998 05:11:26 GMT (18kb)
[v4] Thu, 6 May 1999 04:34:49 GMT (19kb)
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