Structure of the fermion propagator in QED3

TL;DR

This paper analyzes the fermion propagator in QED3, showing how screening effects influence chiral symmetry breaking and identifying a critical region for dynamical symmetry breaking.

Contribution

It introduces a dispersion-like method to evaluate the fermion propagator in QED3, accounting for massive fermion loops and analyzing chiral symmetry breaking.

Findings

No infrared divergences in gauge d=-1.

Screening effects suppress the chiral order parameter at small N.

Existence of a critical region where chiral symmetry is broken.

Abstract

Minkowski structure of the Fermion propagator in QED$_{2+1}$ is evaluated using dispersion like method Including massive fermion loop to the photon spectral function there is no infrared divergences in the gauge d=-1.Screening effects suppress the chiral order parmeter for small numbers of fermion flavour N.We evaluate the order parameter as a function of coupling constant c and N.There exsists a critical region where the chiral symmetry is dynamically broken.