Discussion for the Solutions of Dyson-Schwinger Equations at m>0 in QED3

TL;DR

This paper investigates the solutions of Dyson-Schwinger equations in QED3 with nonzero fermion mass, revealing two distinct chiral symmetry breaking solutions and analyzing how the critical mass depends on fermion flavors.

Contribution

It demonstrates the existence of two different solutions for the fermion propagator in QED3 with mass, and explores the critical mass at which one solution vanishes.

Findings

Two distinct chiral symmetry breaking solutions identified.

Critical fermion mass depends on the number of flavors.

Disappearance of one solution at the critical mass mc.

Abstract

In the case of nonzero fermion mass, within a range of Ansatze for the full fermion-boson vertex, we show that Dyson-Schwinger equation for the fermion propagator in QED3 has two qualitatively distinct dynamical chiral symmetry breaking solutions. As the fermion mass increases and reaches to a critical value mc, one solution disappears, and the dependence of mc on the number of fermion flavors is also given.