Numerical solution for the Schwinger-Dyson equation at finite temperature in Abelian gauge theory

TL;DR

This paper provides exact numerical solutions to the Schwinger-Dyson equations at finite temperature in Abelian gauge theory and investigates the gauge dependence of the chiral phase transition.

Contribution

It offers the first exact numerical solutions for these equations at finite temperature with general gauge, highlighting gauge dependence issues.

Findings

Substantial gauge dependence on solutions and critical temperature

Chiral phase transition analyzed at finite temperature

Numerical solutions enable detailed study of gauge effects

Abstract

We present the exact numerical solutions for the Schwinger-Dyson equations at finite temperature with general gauge in Abelian gauge theory. We then study the chiral phase transition on temperature from the obtained solutions. We find that, within the quenched Schwinger-Dyson equations, there exists substantial gauge dependence on the solutions and the critical temperature.