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Reducible contributions to quantum electrodynamics in external fields

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  • Published: 07 May 2019
  • Volume 2019, article number 38, (2019)
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Reducible contributions to quantum electrodynamics in external fields
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  • Naser Ahmadiniaz  ORCID: orcid.org/0000-0002-0558-94541,2,
  • James P. Edwards3 &
  • Anton Ilderton4 

  • 459 Accesses

  • 15 Citations

  • 3 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

We consider one-particle reducible (1PR) contributions to QED and scalar QED processes in external fields, at one-loop and two-loop order. We investigate three cases in detail: constant crossed fields, constant magnetic fields, and plane waves. We find that 1PR tadpole contributions in plane waves and constant crossed fields are non-zero, but contribute only divergences to be renormalised away. In constant magnetic fields, on the other hand, tadpole contributions give physical corrections to processes at one loop and beyond. Our calculations are exact in the external fields and we give strong and weak field expansions in the magnetic case.

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Authors and Affiliations

  1. Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328, Dresden, Germany

    Naser Ahmadiniaz

  2. Center for Relativistic Laser Science, Institute for Basic Science, 61005, Gwangju, Korea

    Naser Ahmadiniaz

  3. Instituto de Física y Matemáticas Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Apdo. Postal 2-82, C.P. 58040, Morelia, Michoacán, México

    James P. Edwards

  4. Centre for Mathematical Sciences, University of Plymouth, Plymouth, PL48AA, U.K.

    Anton Ilderton

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Correspondence to Naser Ahmadiniaz.

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ArXiv ePrint: 1901.09416

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Ahmadiniaz, N., Edwards, J.P. & Ilderton, A. Reducible contributions to quantum electrodynamics in external fields. J. High Energ. Phys. 2019, 38 (2019). https://doi.org/10.1007/JHEP05(2019)038

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  • Received: 03 February 2019

  • Revised: 15 April 2019

  • Accepted: 25 April 2019

  • Published: 07 May 2019

  • DOI: https://doi.org/10.1007/JHEP05(2019)038

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Keywords

  • Nonperturbative Effects
  • Effective Field Theories
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