Boltzmann equation in de Sitter space |
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Authors: | Hiroyuki Kitamoto Yoshihisa Kitazawa |
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Affiliation: | 1. KEK Theory Center, Tsukuba, Ibaraki 305-0801, Japan;2. The Graduate University for Advanced Studies (Sokendai), Department of Particle and Nuclear Physics, Tsukuba, Ibaraki 305-0801, Japan |
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Abstract: | 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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