Critical scaling of finite temperature QED_3 in anisotropic space-time

TL;DR

This paper studies how the critical temperature of anisotropic QED in 2+1 dimensions scales with the number of fermions, revealing universal power laws and how anisotropy affects critical exponents.

Contribution

It provides a detailed analysis of the scaling laws of the critical temperature in anisotropic QED_3 and explores how anisotropy influences the critical exponents using Dyson-Schwinger equations.

Findings

Universal power laws for critical temperature scaling confirmed.

Critical exponent varies significantly with anisotropy.

Finite volume Dyson-Schwinger equations effectively determine the order parameter.

Abstract

We investigate the scaling behavior of the critical temperature of anisotropic QED in 2+1 dimensions with respect to a variation of the number of fermions N_f. To this end we determine the order parameter of the chiral transition of the theory from a set of (truncated) Dyson-Schwinger equations for the fermion propagator formulated in a finite volume. We verify the validity of previously determined universal power laws for the scaling behavior of the critical temperature with N_f. We furthermore study the variation of the corresponding critical exponent with the degree of anisotropy and find considerable variations.