Title: Particle-hole symmetry and composite fermions in fractional quantum Hall states,
Abstract: We study fractional quantum Hall states at filling fractions in the Jain
sequences using the framework of composite Dirac fermions. Synthesizing
previous work, we write down an effective field theory consistent with all
symmetry requirements, including Galilean invariance and particle-hole
symmetry. Employing a Fermi liquid description, we demonstrate the appearance
of the Girvin--Macdonlald--Platzman algebra and compute the dispersion relation
of neutral excitations and various response functions. Our results satisfy
requirements of particle-hole symmetry. We show that while the dispersion
relation obtained from the HLR theory is particle-hole symmetric, correlation
functions obtained from HLR are not. The results of the Dirac theory are shown
to be consistent with the Haldane bound on the projected structure factor,
while those of the HLR theory violate it.