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arXiv · 1103.2666

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

Iwo Bialynicki-Birula·Łukasz Rudnicki
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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.

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Iwo Bialynicki-Birula, Łukasz Rudnicki. 2011-03-14. Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition. https://doi.org/10.1103/physrevd.83.065020

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