Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism
High Energy Physics - Phenomenology
2017-04-05 v1
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.
Keywords
Cite
@article{arxiv.1609.03034,
title = {Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism},
author = {Naser Ahmadiniaz and Adnan Bashir and Christian Schubert},
journal= {arXiv preprint arXiv:1609.03034},
year = {2017}
}
Comments
7 pages, 6 figures, Talk given at the International Workshop on Strong Field Problems in Quantum Theory, June 6-11, 2016, Tomsk, Russia