Chiral phase transition in QED$_3$ at finite temperature

TL;DR

This paper investigates the chiral phase transition in finite-temperature QED3 using advanced Dyson-Schwinger equations that include full frequency dependence, wave-function renormalizations, and a dressed vertex, providing a more comprehensive analysis.

Contribution

It introduces a novel approach to solving truncated Dyson-Schwinger equations in QED3 by including full frequency dependence and wave-function renormalizations, improving the understanding of chiral phase transitions.

Findings

More accurate solutions of DSEs at finite temperature

Revised critical temperature for chiral symmetry restoration

Enhanced understanding of fermion self-energy effects

Abstract

Chiral phase transition in (2+1)-dimensional quantum electrodynamics (QED$_3$) at finite temperature is investigated in the framework of truncated Dyson-Schwinger equations (DSEs). We go beyond the widely used instantaneous approximation and adopt a method that retains the full frequency dependence of the fermion self-energy. We also take further step to include the effects of wave-function renormalizations and introduce a minimal dressing of the bare vertex. Finally, with the more complete solutions of the truncated DSEs, we revisit the study of chiral phase transition in finite-temperature QED$_3$.