Vacuum state in de Sitter spacetime with static charts

Abstract

We study the free massive scalar field in de Sitter spacetime with static charts. In particular, we find positive-frequency modes for the Bunch-Davies vacuum state natural to the static charts as superpositions of the well-known positive-frequency modes in the conformally-flat chart. We discuss in detail how these modes are defined globally in the two static charts and the region in their future. The global structure of these solutions leads to the well-known description of the Bunch-Davies vacuum state as an entangled state. Our results are expected to be useful not only for studying the thermal properties in the vacuum fluctuations in de Sitter spacetime but also for understanding the nonlocal properties of the vacuum state.

Metadata

Item Type:	Article
Authors/Creators:	Higuchi, Atsushi https://orcid.org/0000-0002-3703-7021 Yamamoto, Kazuhiro
Copyright, Publisher and Additional Information:	© 2018 American Physical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
Dates:	Accepted: 12 September 2018 Published: 25 September 2018
Institution:	The University of York
Academic Units:	The University of York > Faculty of Sciences (York) > Mathematics (York)
Depositing User:	Pure (York)
Date Deposited:	19 Sep 2018 08:40
Last Modified:	09 Apr 2025 23:19
Published Version:	https://doi.org/10.1103/PhysRevD.98.065014
Status:	Published
Refereed:	Yes
Identification Number:	10.1103/PhysRevD.98.065014
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:135905

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Vacuum state in de Sitter spacetime with static charts

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