Improving Euler-Heisenberg-Schwinger Effective Action with Dressed Photons

S. Evansa, b, J. Rafelskia aDepartment of Physics, The University of Arizona, Tucson, AZ 85721, USA bHelmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany

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We implement a longstanding proposal by Weisskopf to apply virtual polarization corrections to the in/out external fields in the study of the Euler-Heisenberg-Schwinger effective action. Our approach requires distinguishing the electromagnetic and polarization fields based on mathematical tools developed by Białynicki-Birula, originally for the Born-Infeld action. Our solution is expressed as a differential equation where the one-loop effective action serves as input. As a first result of our approach, we recover the higher order one-cut reducible loop diagrams discovered by Gies and Karbstein.

DOI:10.12693/APhysPolA.143.13 topics: Euler-Heisenberg-Schwinger (EHS), quantum electrodynamics (QED), non-perturbative vacuum structure, resummation methods