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arXiv · 1609.03034

Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism

Naser Ahmadiniaz·Adnan Bashir·Christian Schubert
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Abstract

We apply the worldline formalism to scalar quantum electrodynamics (QED) to find a Bern-Kosower type master formula for generalized Compton scattering, on-shell and off-shell. Moreover, we use it to study the non-perturbative gauge parameter dependence of amplitudes in scalar QED and, as our main result, find a simple non-perturbative transformation rule under changes of this parameter in x-space in terms of conformal cross ratios. This generalizes the well-known Landau-Khalatnikov-Fradkin transformation (LKFT). We also exemplify how the LKFT works in perturbation theory.

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Naser Ahmadiniaz, Adnan Bashir, Christian Schubert. 2016-09-10. Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism. https://doi.org/10.1007/s11182-017-0973-2

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