Schwinger Mechanism with Stochastic Quantization

Kenji Fukushima; Tomoya Hayata

doi:10.1016/j.physletb.2014.06.060

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arXiv · 1403.4177

Schwinger Mechanism with Stochastic Quantization

Kenji Fukushima·Tomoya Hayata

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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.

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Kenji Fukushima, Tomoya Hayata. 2014-06-23. Schwinger Mechanism with Stochastic Quantization. https://doi.org/10.1016/j.physletb.2014.06.060

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