Boltzmann Collision Term

Details Boltzmann Collision Term Boltzmann Collision Term

2005-10-31

arxiv.org/abs/hep-ph/0510417v1

Phys.Rev. D73 (2006) 025005

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 4 figures

Scientific paper

10.1103/PhysRevD.73.025005

We derive the Boltzmann equation for scalar fields using the Schwinger-Keldysh formalism. The focus lies on the derivation of the collision term. We show that the relevant self-energy diagrams have a factorization property. The collision term assumes the Boltzmann-like form of scattering probability times statistical factors for those self-energy diagrams which correspond to tree level scattering processes. Our proof covers scattering processes with any number of external particles, which come from self-energy diagrams with any number of loops.

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