paper

Schwinger Mechanism with Stochastic Quantization

arXiv:1403.4177 · doi:10.1016/j.physletb.2014.06.060

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.

6 pages; 1 figure; discussions on the relation to the Schwinger-Keldysh formalism elaborated, numerical results refined, accepted for publication in PLB

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