Schwinger mechanism with stochastic quantization

2014/03/31 by Kenji Fukushima, Tomoya Hayata · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #cond-mat.other #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2014.06.060

published as Phys.Lett. B735 (2014) 371-375 · 6 pages; 1 figure; discussions on the relation to the Schwinger-Keldysh formalism elaborated, numerical results refined, accepted for publication in PLB

arxiv created 2014/06/23 · openalex publication_date 2014/06/27 · arxiv updated 2014/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

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.

Citations

• A lattice calculation of thermal dilepton rates
• Phase diagram of Yang-Mills theories in the presence of aθterm
• Particle creation by black holes
• Momentum Signatures for Schwinger Pair Production in Short Laser Pulses with a Subcycle Structure
• Hawking Radiation as Tunneling
• Ramsey Fringes and Time-Domain Multiple-Slit Interference from Vacuum

Cited by

• Superadiabatic particle number in Schwinger and de Sitter particle production