Time evolution in linear response: Boltzmann equations and beyond

Details Time evolution in linear response: Boltzmann equations and beyond Time evolution in linear response: Boltzmann equations and beyond

2001-12-13

arxiv.org/abs/hep-ph/0112188v1

Phys.Rev. D65 (2002) 085029

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages

Scientific paper

10.1103/PhysRevD.65.085029

In this work a perturbative linear response analysis is performed for the time evolution of the quasi-conserved charge of a scalar field. One can find two regimes, one follows exponential damping, where the damping rate is shown to come from quantum Boltzmann equations. The other regime (coming from multiparticle cuts and products of them) decays as power law. The most important, non-oscillating contribution in our model comes from a 4-particle intermediate state and decays as 1/t^3. These results may have relevance for instance in the context of lepton number violation in the Early Universe.

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