Influence Phase of a dS Observer I : Scalar Exchange

Fuente: arXiv
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Autori principali: Loganayagam, R., Shetye, Omkar
Natura: Preprint
Pubblicazione: 2023
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author Loganayagam, R.
Shetye, Omkar
author_facet Loganayagam, R.
Shetye, Omkar
contents Inspired by real-time computations in AdS black holes, we propose a method to obtain the influence phase of a cosmological observer by calculating the on-shell action on a doubled spacetime geometry. The influence phase is the effective action for an open system: for a dS static patch observer coupled to a scalar field it incorporates the radiation reaction due to the bulk fields and their dS Hawking radiation. For a general extended source in dS, we describe how to account for finite size effects. In the long-time limit, we get a Markovian open quantum system susceptible to cosmological fluctuations, whereas the short-time limit reproduces the worldline theory of flat-space radiation reaction. We also present a fully covariantised form for the cubic corrections to the radiation reaction in even spacetime dimensions, including Hubble contributions, and find an intriguing recursive structure across dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2309_07290
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Influence Phase of a dS Observer I : Scalar Exchange
Loganayagam, R.
Shetye, Omkar
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Inspired by real-time computations in AdS black holes, we propose a method to obtain the influence phase of a cosmological observer by calculating the on-shell action on a doubled spacetime geometry. The influence phase is the effective action for an open system: for a dS static patch observer coupled to a scalar field it incorporates the radiation reaction due to the bulk fields and their dS Hawking radiation. For a general extended source in dS, we describe how to account for finite size effects. In the long-time limit, we get a Markovian open quantum system susceptible to cosmological fluctuations, whereas the short-time limit reproduces the worldline theory of flat-space radiation reaction. We also present a fully covariantised form for the cubic corrections to the radiation reaction in even spacetime dimensions, including Hubble contributions, and find an intriguing recursive structure across dimensions.
title Influence Phase of a dS Observer I : Scalar Exchange
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2309.07290