One-loop vertex correction in a plane wave
Abstract
We compute the general expression of the one-loop vertex correction in an arbitrary plane-wave background field for the case of two on-shell external electrons and an off-shell external photon. The properties of the vertex corrections under gauge transformations of the plane-wave background field and of the radiation field are studied. Concerning the divergences of the vertex correction, the infrared one is cured by assigning a finite mass to the photon, whereas the ultraviolet one is shown to be renormalized exactly as in vacuum. Finally, the corresponding expression of the vertex correction within the locally-constant crossed field is also derived and the high-field asymptotic is shown to scale according to the Ritus-Narozhny conjecture.
Keywords
Cite
@article{arxiv.2006.15370,
title = {One-loop vertex correction in a plane wave},
author = {A. Di Piazza and M. A. Lopez-Lopez},
journal= {arXiv preprint arXiv:2006.15370},
year = {2020}
}
Comments
42 pages, 5 figures