Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics
High Energy Physics - Theory
2020-12-22 v2
Abstract
We study the transformation of the dressed electron propagator and the general -point functions under a change in the covariant gauge of internal photon propagators. We re-establish the well known Landau-Khalatnikov-Fradkin transformation for the propagator and generalise it to arbitrary correlation functions in configuration space, finding that it coincides with the analogous result for scalar fields. We comment on the consequences for perturbative application in momentum-space.
Keywords
Cite
@article{arxiv.2010.04160,
title = {Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics},
author = {José Nicasio and James P. Edwards and Christian Schubert and Naser Ahmadiniaz},
journal= {arXiv preprint arXiv:2010.04160},
year = {2020}
}
Comments
4 pages plus a supplementary appendix. Slight strengthening of final results