Pair creation in transport equations using the equal-time Wigner function
High Energy Physics - Phenomenology
2016-09-01 v1
Abstract
Based on the equal-time Wigner function for the Klein-Gordon field, we discuss analytically the mechanism of pair creation in a classical electromagnetic field including back-reaction. It is shown that the equations of motion for the Wigner function can be reduced to a variable-frequency oscillator. The pair-creation rate results then from a calculation analogous to barrier penetration in nonrelativistic quantum mechanics. The Wigner function allows one to utilize this treatment for the formulation of an effective transport theory for the back-reaction problem with a pair-creation source term including Bose enhancement.
Keywords
Cite
@article{arxiv.hep-ph/9301284,
title = {Pair creation in transport equations using the equal-time Wigner function},
author = {C. Best and J. M. Eisenberg},
journal= {arXiv preprint arXiv:hep-ph/9301284},
year = {2016}
}
Comments
19 pages, LaTeX, UFTP 316/1992