TY - JOUR

T1 - Schwinger mechanism with stochastic quantization

AU - Fukushima, Kenji

AU - Hayata, Tomoya

N1 - Funding Information:
We thank Ryoji Anzaki, Yoshimasa Hidaka, Takashi Oka, Shoichi Sasaki for fruitful discussions. K.F. was supported by JSPS KAKENHI Grant Number 24740169 . T.H. was supported by JSPS Research Fellowships for Young Scientists (Grant No. 24008301 ).

PY - 2014/7/30

Y1 - 2014/7/30

N2 - 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.

AB - 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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U2 - 10.1016/j.physletb.2014.06.060

DO - 10.1016/j.physletb.2014.06.060

M3 - Article

AN - SCOPUS:84907393288

VL - 735

SP - 371

EP - 375

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -