Variational solution of the Gross-Neveu model at finite temperature in the large N limit

TL;DR

This paper applies a nonperturbative variational method to analyze the phase transition in the Gross-Neveu model at finite temperature, successfully reproducing large N results.

Contribution

It extends the variational approach to finite temperature, providing a new nonperturbative tool for studying phase transitions in the Gross-Neveu model.

Findings

Successfully reproduces large N phase transition results

Generalizes variational method to finite temperature

Provides insights into nonperturbative behavior

Abstract

We use a nonperturbative variational method to investigate the phase transition of the Gross-Neveu model. It is shown that the variational procedure can be generalized to the finite temperature case. The large N result for the phase transition is correctly reproduced.