Magnetic catalysis in QED_3 at finite temperature: beyond the constant mass approximation

TL;DR

This paper investigates magnetic catalysis in (2+1)-dimensional QED at finite temperature by solving Schwinger-Dyson equations without assuming a constant fermion mass, revealing a phase diagram with magnetic field-dependent critical temperatures.

Contribution

It provides a detailed analysis of magnetic catalysis in QED3 at finite temperature beyond the constant mass approximation, including the momentum dependence of the fermion self-energy.

Findings

Critical temperature scales as √B for intermediate magnetic fields.

At very strong magnetic fields, the critical temperature approaches a constant value.

The phase diagram shows a transition line depending on temperature and magnetic field.

Abstract

We solve the Schwinger-Dyson equations for (2+1)-dimensional QED in the presence of a strong external magnetic field. The calculation is done at finite temperature and the fermionic self energy is not supposed to be momentum-independent, which is the usual simplification in such calculations. The phase diagram in the temperature-magnetic field plane is determined. For intermediate magnetic fields the critical temperature turns out to have a square root dependence on the magnetic field, but for very strong magnetic fields it approaches a B-independent limiting value.