an:06802984
Zbl 1373.81401
Ahmadiniaz, N.; Bastianelli, F.; Corradini, O.; Edwards, J. P.; Schubert, C.
One-particle reducible contribution to the one-loop spinor propagator in a constant field
EN
Nucl. Phys., B 924, 377-386 (2017).
00371646
2017
j
81V10 70S05 78A35 81S40
Summary: 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.