QED Actions in Supercritical Fields
High Energy Physics - Theory
2014-06-18 v1
Abstract
In the in-out formalism we advance a new method to represent the gamma function for QED actions in supercritical fields, which is complementary to the proper-time integral representation in Phys. Rev. D 78, 105013 (2008) and Phys. Rev. D 84, 065004 (2011). The new method directly yields the QED action in terms of the Hurwitz zeta function in a constant magnetic field and the complex QED action in a constant electric field. The complex action exactly gives the vacuum polarization and the vacuum persistence and thereby the pair-production rate in the electric field. The QED actions exhibit the electromagnetic duality.
Cite
@article{arxiv.1406.4292,
title = {QED Actions in Supercritical Fields},
author = {Sang Pyo Kim and Hyun Kyu Lee},
journal= {arXiv preprint arXiv:1406.4292},
year = {2014}
}
Comments
RevTex 6 pages, no figure