Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition

Details Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition

2011-03-14

arxiv.org/abs/1103.2666v1

Phys.Rev.D83:065020,2011

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 1 figure

Scientific paper

10.1103/PhysRevD.83.065020

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.

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