An Infra-Red Finite Electron Propagator

TL;DR

This paper demonstrates that in certain gauges, a dressed electron's propagator can be made infra-red finite and multiplicatively renormalizable at one loop, confirming previous theoretical conjectures.

Contribution

It provides a one-loop calculation showing infra-red finiteness and multiplicative renormalization of the electron propagator in specific gauges, advancing understanding of infrared behavior.

Findings

Infra-red finiteness achieved in specific gauges

Multiplicative mass shell renormalization demonstrated

Results align with previous theoretical conjectures

Abstract

We investigate the properties of a dressed electron which reduces, in a particular class of gauges, to the usual fermion. A one loop calculation of the propagator is presented. We show explicitly that an infra-red finite, multiplicative, mass shell renormalisation is possible for this dressed electron, or, equivalently, for the usual fermion in the abovementioned gauges. The results are in complete accord with previous conjectures.