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arXiv · 1704.05040

One-particle reducible contribution to the one-loop spinor propagator in a constant field

Naser Ahmadiniaz·Fiorenzo Bastianelli·Olindo Corradini·James P. Edwards·Christian Schubert
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Abstract

Extending work by Gies and Karbstein on the Euler-Heisenberg Lagrangian, it has recently been shown that the one-loop propagator of a charged scalar particle in a constant electromagnetic field has a one-particle reducible contribution in addition to the well-studied irreducible one. Here we further generalize this result to the spinor case, and find the same relation between the reducible term, the tree-level propagator and the one-loop Euler-Heisenberg Lagrangian as in the scalar case. Our demonstration uses a novel worldline path integral representation of the photon-dressed spinor propagator in a constant electromagnetic field background.

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Naser Ahmadiniaz, Fiorenzo Bastianelli, Olindo Corradini, James P. Edwards, Christian Schubert. 2017-12-17. One-particle reducible contribution to the one-loop spinor propagator in a constant field. https://doi.org/10.1016/j.nuclphysb.2017.09.012

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