Fermion propagators in QED3 with velocity anisotropies

TL;DR

This paper investigates the fermion propagator in anisotropic QED3, revealing complex behavior and phase transition evidence relevant to high-temperature superconductors, with new measurements indicating a richer theoretical structure.

Contribution

First measurements of the fermion propagator in Landau gauge for anisotropic QED3, suggesting a more complex theory than previously understood.

Findings

Evidence of a phase transition to a chirally restored phase with increasing anisotropy

Correlation lengths of pions behave as a relevant parameter of the theory

Fermion propagator structure is more complex than previously thought

Abstract

QED3 with fermi and gap anisotropies is considered to be a candidate effective field theory of high temperature superconductors. Simulations of a variant of the theory have demonstrated that there is evidence consistent with a phase transition to a chirally restored phase as the velocity anisotropy increases, and that the correlation lengths of pions in spatial directions behave in a manner consistent with the anisotropy being a relevant parameter of the theory. We present the first measurements of the fermion propagator in Landau gauge for this theory and suggest that the structure of this theory is more complex than previously thought.