Schwinger Mechanism with Stochastic Quantization
High Energy Physics - Theory
2014-09-02 v2 Other Condensed Matter
High Energy Physics - Phenomenology
Abstract
We prescribe a formulation of the particle production with real-time Stochastic Quantization. To construct the retarded and the time-ordered propagators we decompose the stochastic variables into positive- and negative-energy parts. In this way we demonstrate how to derive a standard formula for the Schwinger mechanism under time-dependent electric fields. We discuss a mapping to the Schwinger-Keldysh formalism and a relation to the classical statistical simulation.
Cite
@article{arxiv.1403.4177,
title = {Schwinger Mechanism with Stochastic Quantization},
author = {Kenji Fukushima and Tomoya Hayata},
journal= {arXiv preprint arXiv:1403.4177},
year = {2014}
}
Comments
6 pages; 1 figure; discussions on the relation to the Schwinger-Keldysh formalism elaborated, numerical results refined, accepted for publication in PLB