Schwinger mechanism with stochastic quantization

Fukushima, Kenji  (Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan) ; Hayata, Tomoya  (Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan) (Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama, 351-0198, Japan)

27 June 2014

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.


Published in: Physics letters B 735 (2014) 371-375
Published by: Elsevier
DOI: 10.1016/j.physletb.2014.06.060
License: CC-BY-3.0



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