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

http://arxiv.org/abs/1704.05040


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.

Read this paper on arXiv…

N. Ahmadiniaz, F. Bastianelli, O. Corradini, et. al.
Tue, 18 Apr 17
37/40

Comments: 12 pages. 4 figure