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arXiv · 2006.15370

One-loop vertex correction in a plane wave

A. Di Piazza·M. A. Lopez-Lopez
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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.

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A. Di Piazza, M. A. Lopez-Lopez. 2020-06-27. One-loop vertex correction in a plane wave. https://doi.org/10.1103/physrevd.102.076018

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