One-loop vertex correction in a plane wave

Di Piazza, A.; Lopez-Lopez , M. A.

doi:10.1103/PhysRevD.102.076018

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One-loop vertex correction in a plane wave

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Di Piazza, A.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

Lopez-Lopez , M. A.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Apdo. Postal 2-82, C.P. 58040 Morelia, Michoacán, Mexico;

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https://journals.aps.org/prd/pdf/10.1103/PhysRevD.102.076018
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Citation

Di Piazza, A., & Lopez-Lopez, M. A. (2020). One-loop vertex correction in a plane wave. Physical Review D, 102(7): 076018. doi:10.1103/PhysRevD.102.076018.

Cite as: https://hdl.handle.net/21.11116/0000-0007-4F46-3

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.