Temperature- and Curvature Dependence of the Chiral Symmetry Breaking in 2D Gauge Theories

TL;DR

This paper investigates how temperature and curvature influence chiral symmetry breaking in 2D gauge theories, providing non-perturbative formulas showing exponential suppression of the condensate under high temperature and curvature conditions.

Contribution

It derives non-perturbative expressions for the chiral condensate's dependence on temperature and curvature in 2D gauge theories, including the gauged Thirring model.

Findings

High temperature suppresses the condensate exponentially.

High curvature also suppresses the condensate exponentially.

An effective temperature can be associated with curvature.

Abstract

The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for the dependence of the chiral condensate on the temperature and the curvature. Both, high temperature and high curvature supress the condensate exponentially and we can associate an effective temperature to the curvature.