Pair creation in transport equations using the equal-time Wigner function

Details Pair creation in transport equations using the equal-time Wigner function Pair creation in transport equations using the equal-time Wigner function

1993-01-27

arxiv.org/abs/hep-ph/9301284v1

Phys.Rev. D47 (1993) 4639-4646

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, LaTeX, UFTP 316/1992

Scientific paper

10.1103/PhysRevD.47.4639

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.

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