Fermion production from real-time lattice gauge theory in the classical-statistical regime
Abstract
We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent problems the quantum dynamics can be accurately mapped onto a classical-statistical ensemble. We illustrate the genuine quantum contributions included in this description by giving a diagrammatic representation in a series expansion. The non-perturbative simulation method is then applied to electron-positron production in quantum electrodynamics in three spatial dimensions. We compare to analytic results for constant background field and demonstrate the importance of back-reaction of the produced fermion pairs on the gauge fields.
Keywords
Cite
@article{arxiv.1403.4849,
title = {Fermion production from real-time lattice gauge theory in the classical-statistical regime},
author = {Valentin Kasper and Florian Hebenstreit and Jürgen Berges},
journal= {arXiv preprint arXiv:1403.4849},
year = {2014}
}
Comments
17 pages, 10 figures, Revised version: minor corrections, PRD Version