Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box

TL;DR

This study uses Dyson-Schwinger equations in a finite volume to analyze how anisotropic fermion velocities in 2+1 dimensional QED influence the critical number of fermions needed for dynamical mass generation, with implications for high-T_c superconductors.

Contribution

It introduces a non-perturbative approach that retains full velocity dependence, providing new insights into anisotropy effects on N_f^c in QED3.

Findings

Anisotropies cause significant shifts in N_f^c.

Results align with other theoretical approaches.

Findings are relevant for high-T_c superconductor models.

Abstract

We investigate the effect of anisotropies in the fermion velocities of 2+1 dimensional QED on the critical number N_f^c of fermions for dynamical mass generation. Our framework are the Dyson-Schwinger equations for the gauge boson and fermion propagators formulated in a finite volume. In contrast to previous Dyson-Schwinger studies we do not rely on an expansion in small anisotropies but keep the full velocity dependence of fermion equations intact. As result we find sizable variations of N_f^c away from the isotropic point in agreement with other approaches. We discuss the relevance of our findings for models of high-T_c superconductors.