QED3 at Finite Temperature and Density

TL;DR

This paper uses Schwinger-Dyson equations with full frequency dependence to analyze the phase diagram of three-dimensional QED at finite temperature and density, addressing infrared divergences and limitations of common approximations.

Contribution

It introduces a fully frequency-dependent approach to Schwinger-Dyson equations for QED3 and evaluates the accuracy of common approximations.

Findings

Reliable results despite infrared divergences

Full frequency dependence improves phase diagram accuracy

Quenched and instantaneous approximations are shown to be inaccurate

Abstract

Schwinger-Dyson equations are used to study the phase diagram of QED in three dimensions. This computation is made with full frequency-dependence in the two-point function gap equations for the first time. We also demonstrate that reliable results are attainable in spite of an infrared divergence that is endemic to the theory. A theoretically sound method for dealing with cutoff ultraviolet regulators is presented. Finally, it is shown that the quenched and instantaneous approximations often used in the literature are inaccurate.