An Infra-Red Finite Electron Propagator

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.

Comments: 22 pages, plain TeX, 2 figures, needs epsf.tex. Version to appear in Physical Review D: title changed, introduction and conclusions modified, extra references and some typos corrected