One-particle reducible contribution to the one-loop scalar propagator in a constant field
High Energy Physics - Theory
2018-02-01 v2 High Energy Astrophysical Phenomena
High Energy Physics - Phenomenology
Abstract
Recently, Gies and Karbstein showed that the two-loop Euler-Heisenberg Lagrangian receives a finite one-particle reducible contribution in addition to the well-known one-particle irreducible one. Here, we demonstrate that a similar contribution exists for the propagator in a constant field already at the one-loop level, and we calculate this contribution for the scalar QED case. We also present an independent derivation of the Gies-Karbstein result using the worldline formalism, treating the scalar and spinor QED cases in a unified manner.
Keywords
Cite
@article{arxiv.1704.00482,
title = {One-particle reducible contribution to the one-loop scalar propagator in a constant field},
author = {James P. Edwards and Christian Schubert},
journal= {arXiv preprint arXiv:1704.00482},
year = {2018}
}
Comments
13 pages, 4 figures. Minor corrections made