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arXiv · 1707.08106

Effective Euler-Heisenberg Lagrangians in models of QED

Filip Přeučil·Jiří Hořejší
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Abstract

The main goal of this paper is a direct diagrammatic evaluation of the effective four-photon Lagrangian of the Euler-Heisenberg type for the quantum electrodynamics of massive charged vector bosons. This QED model is naturally embedded in the standard electroweak theory, and we have carried out the corresponding one-loop calculation in the unitary gauge. As far as we know, such a work has not been published before since usually the $R$-gauge techniques are preferred for the computation of loop Feynman diagrams. We have recovered the result obtained many years ago by Vanyashin and Terent'ev, who used a specific functional method. For completeness and for validation of our techniques, we have also redone the analogous calculations for scalar and spinor QED.

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Filip Přeučil, Jiří Hořejší. 2017-08-03. Effective Euler-Heisenberg Lagrangians in models of QED. https://doi.org/10.1088/1361-6471%2Faace90

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