Coherent quantum Boltzmann equations from cQPA

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http://hdl.handle.net/10138/24441

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Herranen , M , Kainulainen , K & Matti Rahkila , P 2010 , ' Coherent quantum Boltzmann equations from cQPA ' , Journal of High Energy Physics , vol. 2010 , no. 12 , pp. 072 . https://doi.org/10.1007/JHEP12(2010)072

Title: Coherent quantum Boltzmann equations from cQPA
Author: Herranen, Matti; Kainulainen, Kimmo; Matti Rahkila, Pyry
Contributor: University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Helsinki Institute of Physics
Date: 2010
Language: eng
Number of pages: 48
Belongs to series: Journal of High Energy Physics
ISSN: 1029-8479
URI: http://hdl.handle.net/10138/24441
Abstract: 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.
Subject: hep-ph
hep-th
114 Physical sciences
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