The one-loop correction to the laser-induced mass shift in QED is gauge dependent, vanishing in Landau gauge where only vacuum renormalisation is needed.
Renormalisation of the Volkov propagator
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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.
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One loop Volkov propagator in the Lorentz class of gauges
The one-loop correction to the laser-induced mass shift in QED is gauge dependent, vanishing in Landau gauge where only vacuum renormalisation is needed.