# Renormalisation of the Volkov propagator

## TL;DR

This paper develops a perturbative framework for electron propagation in a plane wave background, analyzing loop corrections, divergences, and renormalization, including a novel correction to the background-induced mass term.

## Contribution

It introduces a sideband framework revealing multiplicative corrections and identifies an additional renormalization related to the background mass correction.

## Key findings

- Ultraviolet divergences are characterized and renormalized.
- A new loop correction to the background-induced mass is identified.
- Results for strong field regimes are proposed.

## Abstract

The perturbative description of an electron propagating in a plane wave background is developed and loop corrections analysed. The ultraviolet divergences and associated renormalisation are studied using the sideband framework within which the multiplicative form of the corrections becomes manifest. An additional renormalisation beyond that usually expected is identified and interpreted as a loop correction to the background induced mass term. Results for the strong field sector are conjectured.