Phase Diagram of Gross-Neveu Model at Finite Temperature, Density and Constant Curvature

TL;DR

This paper investigates the phase structure of chiral symmetry breaking in the Gross-Neveu model considering finite temperature, density, and constant curvature, revealing a third order critical line in the phase diagram.

Contribution

It introduces a combined analysis of temperature, density, and curvature effects on the Gross-Neveu model's phase structure using a leading order $1/N$ expansion.

Findings

Identification of a third order critical line in the phase diagram.

Effective potential evaluated in weak curvature approximation.

Analysis of chiral symmetry breaking under combined conditions.

Abstract

We discuss a phase structure of chiral symmetry breaking in the Gross-Neveu model at finite temperature, density and constant curvature. The effective potential is evaluated in the leading order of the $1/N$-expansion and in a weak curvature approximation. The third order critical line is found on the critical surface in the parameter space of temperature, chemical potential and constant curvature.