Infrared self-consistent solutions of bispinor QED3

TL;DR

This paper presents self-consistent infrared solutions for bispinor QED3 using Dyson-Schwinger equations and Salam's vertex, revealing gauge independence and numerical parameter determination for various couplings.

Contribution

It introduces a self-consistent method to solve Dyson-Schwinger equations in QED3 with Salam's vertex, providing new numerical and analytical insights.

Findings

Infrared solutions are obtained self-consistently for fermion and boson propagators.

The gauge boson propagator is nearly gauge independent in the infrared.

Analytical solutions are derived for weak coupling regimes.

Abstract

Quantum electrodynamics in three dimensions in the bispinor formulation is considered. It is shown that the Dyson-Schwinger equations for fermion and boson propagators may be self-consistently solved in the infrared domain if on uses the Salam's vertex function. The parameters defining the behavior of the propagators are found numerically for different values of coupling constant and gauge parameter. For weak coupling the approximated analytical solutions are obtained. The renormalized gauge boson propagator (transverse part) is shown in the infrared domain to be practically gauge independent.