N-photon amplitudes in a plane-wave background

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 meth...

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Main Authors: James P. Edwards, Christian Schubert
Format: Article
Language:English
Published: Elsevier 2021-11-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321006365
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author James P. Edwards
Christian Schubert
author_facet James P. Edwards
Christian Schubert
author_sort James P. Edwards
collection DOAJ
description 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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spelling doaj.art-54cd72ce4ec94901b3ae4c553f1a01452022-12-21T21:35:13ZengElsevierPhysics Letters B0370-26932021-11-01822136696N-photon amplitudes in a plane-wave backgroundJames P. Edwards0Christian Schubert1Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Apdo. Postal 2-82, Morelia, 58040, Michoacán, MexicoCorresponding author.; Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Apdo. Postal 2-82, Morelia, 58040, Michoacán, MexicoWe 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.http://www.sciencedirect.com/science/article/pii/S0370269321006365Worldline formalismPhoton amplitudesPlane-wave background
spellingShingle James P. Edwards
Christian Schubert
N-photon amplitudes in a plane-wave background
Physics Letters B
Worldline formalism
Photon amplitudes
Plane-wave background
title N-photon amplitudes in a plane-wave background
title_full N-photon amplitudes in a plane-wave background
title_fullStr N-photon amplitudes in a plane-wave background
title_full_unstemmed N-photon amplitudes in a plane-wave background
title_short N-photon amplitudes in a plane-wave background
title_sort n photon amplitudes in a plane wave background
topic Worldline formalism
Photon amplitudes
Plane-wave background
url http://www.sciencedirect.com/science/article/pii/S0370269321006365
work_keys_str_mv AT jamespedwards nphotonamplitudesinaplanewavebackground
AT christianschubert nphotonamplitudesinaplanewavebackground