Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition
High Energy Physics - Theory
2011-03-22 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Exact analytical solutions are presented for the time evolution of the density of pairs produced in the QED vacuum by a time-independent, uniform electric field. The mathematical tool used here to describe the pair production is the Dirac-Heisenberg-Wigner function introduced before [Phys. Rev. D 44, 1825 (1991)]. The initial value problem for this function is solved by decomposing the solution into a product of spinors. The equations for spinors are much simpler and are solved analytically. These calculations are nonperturbative since pair production is due to quantum-mechanical tunneling and the explicit solutions clearly exhibit their nonanalytic behavior.
Keywords
Cite
@article{arxiv.1103.2666,
title = {Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition},
author = {Iwo Bialynicki-Birula and Łukasz Rudnicki},
journal= {arXiv preprint arXiv:1103.2666},
year = {2011}
}
Comments
6 pages, 1 figure