N-photon amplitudes in a plane-wave background

James P. Edwards; Christian Schubert

doi:10.1016/j.physletb.2021.136696

N-photon amplitudes in a plane-wave background

James P. Edwards
, Christian Schubert^*

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

Universidad Michoacana de San Nicolas de Hidalgo

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Abstract

We use the worldline formalism to derive master formulas for the one-loop N-photon amplitudes in a plane-wave background, for both scalar and spinor quantum electrodynamics. This generalises previous work by Ilderton and Torgrimsson for the vacuum polarisation case, although with some change in methodology since, instead of evaluating the path integral on the semi-classical trajectory, we use the special kinematics of the plane-wave background to uncover the crypto-gaussian character of this type of worldline path integral.

Original language	English
Number of pages	0
Journal	Physics Letters B
Volume	822
Issue number	0
Early online date	30 Sept 2021
DOIs	https://doi.org/10.1016/j.physletb.2021.136696
Publication status	Published - Nov 2021

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10.1016/j.physletb.2021.136696

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abstract = "We use the worldline formalism to derive master formulas for the one-loop N-photon amplitudes in a plane-wave background, for both scalar and spinor quantum electrodynamics. This generalises previous work by Ilderton and Torgrimsson for the vacuum polarisation case, although with some change in methodology since, instead of evaluating the path integral on the semi-classical trajectory, we use the special kinematics of the plane-wave background to uncover the crypto-gaussian character of this type of worldline path integral.",

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AB - We use the worldline formalism to derive master formulas for the one-loop N-photon amplitudes in a plane-wave background, for both scalar and spinor quantum electrodynamics. This generalises previous work by Ilderton and Torgrimsson for the vacuum polarisation case, although with some change in methodology since, instead of evaluating the path integral on the semi-classical trajectory, we use the special kinematics of the plane-wave background to uncover the crypto-gaussian character of this type of worldline path integral.

UR - https://pearl.plymouth.ac.uk/secam-research/774/

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N-photon amplitudes in a plane-wave background

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