Markovian Dynamics in de Sitter

Abstract

The equilibrium state of fields in the causal wedge of a dS observer is thermal, though realistic observers have only partial access to the state. To them, out-of-equilibrium states of a light scalar field appear to thermalize in a Markovian fashion. We show this by formulating a systematic expansion for tracing out the environment. As an example, we calculate the $O(\lambda )$ correction to the result of Starobinsky and Yokoyama for the relaxation exponents of $\lambda {\varphi }^4$ theory.

19+10 pages

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Cited by in corpus (9)

• Analyticity and Unitarity for Cosmological Correlators
• Stochastic Inflation at NNLO
• Statistics of coarse-grained cosmological fields in stochastic inflation
• Amplitudes meet Cosmology: A (Scalar) Primer
• The graviton four-point function in de Sitter space
• Large Deviations in the Early Universe
• The Asymptotic Structure of Cosmological Integrals
• Probing de Sitter from the horizon
• A Tail of Eternal Inflation