Gauge dependence on the chiral phase transition of QCD at finite temperature in the Schwinger-Dyson equation

TL;DR

This paper investigates how the choice of gauge affects the predicted critical temperature of the chiral phase transition in finite-temperature QCD using the quenched Schwinger-Dyson equation, revealing significant gauge dependence.

Contribution

It provides a detailed analysis of gauge dependence in the quenched Schwinger-Dyson approach to finite-temperature QCD phase transitions, without relying on approximations.

Findings

Critical temperature varies significantly with gauge choice.

Gauge dependence is prominent at the quenched level in the Schwinger-Dyson equations.

The study highlights the importance of gauge considerations in non-perturbative QCD analyses.

Abstract

We study the gauge dependence on the chiral phase transition of Quantum chromodynamics at finite temperature based on the quenched Schwinger-Dyson equation. We first solve the equations without approximations at finite temperature in general gauge, then study the gauge dependence on the critical temperature of the chiral phase transition. We find that the critical temperature drastically depends on the choice of the gauge, and the parameters at the quenched level in the Schwinger-Dyson equations.