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Multiphoton Amplitudes and Generalized LKF Transformation in Scalar QED Using the Worldline Formalism

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Russian Physics Journal Aims and scope

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 this generilized LKFT works in perturbation theory.

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Authors and Affiliations

  1. Center for Relativistic Laser Science, Institute for Basic Science, Gwangju, Korea

    N. Ahmadiniaz

  2. Instituto de Fisica y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo Apdo, Michoacan, Mexico

    A. Bashir & C. Schubert

Authors
  1. N. Ahmadiniaz
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  2. A. Bashir
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  3. C. Schubert
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Correspondence to N. Ahmadiniaz.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 28–34, November, 2016.

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Ahmadiniaz, N., Bashir, A. & Schubert, C. Multiphoton Amplitudes and Generalized LKF Transformation in Scalar QED Using the Worldline Formalism. Russ Phys J 59, 1752–1760 (2017). https://doi.org/10.1007/s11182-017-0973-2

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  • DOI: https://doi.org/10.1007/s11182-017-0973-2

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