Effects of Anisotropy in (2+1)-dimensional QED

TL;DR

This paper investigates how anisotropic fermionic velocities affect the critical fermion flavor number and mass generation in (2+1)-dimensional QED, using Dyson-Schwinger equations and various approximation schemes.

Contribution

It provides new insights into the impact of anisotropy on N^c_f and dynamical mass generation in (2+1)D QED, highlighting significant variations from isotropic cases.

Findings

Large variations of N^c_f with anisotropy

Agreement with other approaches on anisotropic effects

Analysis using Dyson-Schwinger equations in finite volume

Abstract

We summarize our results for the impact of anisotropic fermionic velocities in (2+1)-dimensional QED on the critical number of fermion flavors, N^c_f, and dynamical mass generation. We apply different approximation schemes for the gauge boson vacuum polarization and the fermion-boson vertex to analyze the according Dyson-Schwinger equations in a finite volume. Our results point towards large variations of N^c_f away from the isotropic point in agreement with other approaches.