Effective Euler-Heisenberg Lagrangians in models of QED

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.

12 pages, 3 figures, 1 table; some references added

References in corpus (4)

• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• Light-by-Light Scattering Constraint on Born-Infeld Theory
• Probing the anomalous $\gamma \gamma \gamma Z$ coupling at the LHC with proton tagging
• Polarization effects in light-by-light scattering: Euler-Heisenberg versus Born-Infeld

Cited by in corpus (5)

• Rigorous Bounds on Light-by-Light Scattering
• The effective action for gauge bosons
• Light-by-Light Scattering in the Presence of Magnetic Fields
• Impossibility of obtaining a CP-violating Euler-Heisenberg effective theory from a viable modification of QED
• Induced CP-violation in the Euler-Heisenberg Lagrangian