Infrared behaviour of the fermion propagator in unquenched QED$_3$ with finite threshold effects

TL;DR

This paper investigates the infrared behavior of the fermion propagator in unquenched QED3, incorporating finite threshold effects and analyzing how the spectral function and order parameter depend on flavor number.

Contribution

It introduces a method to remove infrared divergences by including massive fermion loops in the photon spectral function and studies the flavor dependence of the order parameter.

Findings

Spectral function lacks one-particle singularity at unity anomalous dimension.

Order parameter shows mild dependence on the number of flavors.

Finite threshold effects influence the infrared behavior of the fermion propagator.

Abstract

To remove the linear infrared divergences in quenched approximation we include the massive fermion loop to the photon spectral function.Spectral function of fermion has no one particle singularity if we fix the anomalous dimension to be unity.In the case of $N$ flavour,$N$ dependence of order parameter is mild which may be due to screening effects.