Reducible contributions to quantum electrodynamics in external fields

Journal of High Energy Physics May 2019, 2019:38 | Cite as Reducible contributions to quantum electrodynamics in external fields AuthorsAuthors and affiliations Naser AhmadiniazJames P. EdwardsAnton Ilderton Open Access Regular Article - Theoretical Physics First Online: 07 May 2019 20 Downloads 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. Keywords Nonperturbative Effects Effective Field Theories  ArXiv ePrint: 1901.09416 Download to read the full article text Notes Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. References [1] W. Heisenberg and H. Euler, Consequences of Dirac’s theory of positrons, Z. Phys. 98 (1936) 714 [physics/0605038] [INSPIRE]. [2] V. Weisskopf, Über die Elektrodynamik des Vakuums auf Grund der Quantentheorie des Elektrons, Kong. Dans. Vid. Selsk. Math-fys. Medd. XIV 6 (1936) .Google Scholar [3] J.S. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82 (1951) 664 [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [4] G.V. Dunne, Heisenberg-Euler effective Lagrangians: Basics and extensions, in From fields to strings: Circumnavigating theoretical physics. 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