Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density

TL;DR

This paper uses renormalization group flow equations with a proper time regulator to study chiral symmetry restoration at finite temperature and density in the 3D Gross-Neveu model, comparing results with lattice simulations.

Contribution

It introduces a renormalization group analysis with wave function renormalization effects for the 3D Gross-Neveu model at finite temperature and density, including large N_f limit.

Findings

Chiral symmetry is restored at high temperature and density.

Wave function renormalization influences the transition.

Results agree qualitatively with lattice simulations.

Abstract

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of fermion flavors N_f=12 and the limit of large N_f is also considered. The results are compared with those coming from lattice simulations.