Quark-antiquark pair production in space-time dependent fields

Details Quark-antiquark pair production in space-time dependent fields Quark-antiquark pair production in space-time dependent fields

2004-02-03

arxiv.org/abs/hep-th/0402026v3

Phys.Rev. D70 (2004) 105009

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 8 figures, revised version

Scientific paper

10.1103/PhysRevD.70.105009

Fermion-antifermion pair-production in the presence of classical fields is described based on the retarded and advanced fermion propagators. They are obtained by solving the equation of motion for the Dirac Green's functions with the respective boundary conditions to all orders in the field. Subsequently, various approximation schemes fit for different field configurations are explained. This includes longitudinally boost-invariant forms. Those occur frequently in the description of ultrarelativistic heavy-ion collisions in the semiclassical limit. As a next step, the gauge invariance of the expression for the expectation value of the number of produced fermion-antifermion pairs as a functional of said propagators is investigated in detail. Finally, the calculations are carried out for a longitudinally boost-invariant model-field, taking care of the last issue, especially.

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