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Pair creation: back-reactions and damping

J. C. R. Bloch·V. A. Mizerny·A. V. Prozorkevich·C. D. Roberts·S. M. Schmidt·S. A. Smolyansky·D. V. Vinnik
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Abstract

We solve the quantum Vlasov equation for fermions and bosons, incorporating spontaneous pair creation in the presence of back-reactions and collisions. Pair creation is initiated by an external impulse field and the source term is non-Markovian. A simultaneous solution of Maxwell's equation in the presence of feedback yields an internal current and electric field that exhibit plasma oscillations with a period tau_pl. Allowing for collisions, these oscillations are damped on a time-scale, tau_r, determined by the collision frequency. Plasma oscillations cannot affect the early stages of the formation of a quark-gluon plasma unless tau_r >> tau_pl and tau_pl approx. 1/Lambda_QCD approx 1 fm/c.

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J. C. R. Bloch, V. A. Mizerny, A. V. Prozorkevich, C. D. Roberts, S. M. Schmidt, S. A. Smolyansky, D. V. Vinnik. 1999-07-07. Pair creation: back-reactions and damping. https://doi.org/10.1103/physrevd.60.116011

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