One-particle reducible contribution to the one-loop spinor propagator in a constant field
arXiv:1704.05040 · doi:10.1016/j.nuclphysb.2017.09.012
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.
12 pages. 4 figure. Updated to journal version with correction of a minus sign in equation (34)
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