Coherent quantum Boltzmann equations from cQPA

Details Coherent quantum Boltzmann equations from cQPA Coherent quantum Boltzmann equations from cQPA

2010-06-09

arxiv.org/abs/1006.1929v3

JHEP 1012:072,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 figures, 49 pages. Replaced with the published version. Typos and misprints corrected. Improved coloring in some figures. O

Scientific paper

10.1007/JHEP12(2010)072

We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence information is encoded in new spectral solutions at off-shell momenta. We derive explicit forms for the cQPA propagators in the homogeneous background and show that the collision integrals involving the new coherence propagators need to be resummed to all orders in gradient expansion. We perform this resummation and derive generalized momentum space Feynman rules including coherent propagators and modified vertex rules for a Yukawa interaction. As a result we are able to set up self-consistent quantum Boltzmann equations for both fermion and scalar fields. We present several examples of diagrammatic calculations and numerical applications including a simple toy model for coherent baryogenesis.

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