Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-07-09
JHEP 0809:032,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
34 pages, 8 figures
Scientific paper
10.1088/1126-6708/2008/09/032
We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is found to arise from new spectral solutions for the dynamical 2-point correlation function in the mean field limit. The physical density matrix $\rho$ and its dynamics is shown to be necessarily dependent on the extrenous information on the system, and expressions that relate $\rho$ to fundamental coherence functions and fermionic particle and antiparticle numbers are derived. For an interacting system we demonstrate how smooth decoherence effects are induced by collisions. As special applications we study the production of unstable particles during the preheating stage of the inflation and an evolution of an initially quantum $\rho$ towards a statistical limit including decoherence and thermalisation.
Herranen Matti
Kainulainen Kimmo
Rahkila Pyry Matti
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