Boltzmann equation in de Sitter space

Details Boltzmann equation in de Sitter space Boltzmann equation in de Sitter space

2010-04-14

arxiv.org/abs/1004.2451v4

Nucl.Phys.B839:552-579,2010

Physics

High Energy Physics

High Energy Physics - Theory

33pages, 2figures

Scientific paper

10.1016/j.nuclphysb.2010.06.019

In a time dependent background like de Sitter space, Feynman-Dyson perturbation theory breaks down due to infra-red divergences. We investigate an interacting scalar field theory in Schwinger-Keldysh formalism. We derive a Boltzmann equation from a Schwinger-Dyson equation inside the cosmological horizon. Our solution shows that the particle production is compensated by the reduction of the on-shell states due to unitarity. Although the degrees of freedom inside the horizon leads to a small and diminishing screening effect of the cosmological constant, there is a growing screening effect from those outside the horizon.

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