The IR stability of de Sitter QFT: physical initial conditions |
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Authors: | Email author" target="_blank">Donald?MarolfEmail author Ian?A?Morrison |
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Institution: | 1.Department of Physics,University of California,Santa Barbara,USA |
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Abstract: | This work uses Lorentz-signature in-in perturbation theory to analyze the late-time behavior of correlators in time-dependent
interacting massive scalar field theory in de Sitter space. We study a scenario recently considered by Krotov and Polyakov
in which the coupling g turns on smoothly at finite time, starting from g = 0 in the far past where the state is taken to be the (free) Bunch–Davies vacuum. Our main result is that the resulting
correlators (which we compute at the one-loop level) approach those of the interacting Hartle–Hawking state at late times.
We argue that similar results should hold for other physically-motivated choices of initial conditions. This behavior is to
be expected from recent quantum “no hair” theorems for interacting massive scalar field theory in de Sitter space which established
similar results to all orders in perturbation theory for a dense set of states in the Hilbert space. Our current work (1)
indicates that physically motivated initial conditions lie in this dense set, (2) provides a Lorentz-signature counter-part
to the Euclidean techniques used to prove such theorems, and (3) provides an explicit example of the relevant renormalization
techniques. |
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Keywords: | |
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