Vacuum state in de Sitter spacetime with static charts

Atsushi Higuchi; Kazuhiro Yamamoto

doi:10.1103/PhysRevD.98.065014

Vacuum state in de Sitter spacetime with static charts

Atsushi Higuchi, Kazuhiro Yamamoto

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	065014
Number of pages	12
Journal	Physical Review D
Volume	98
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.98.065014
Publication status	Published - 25 Sept 2018

Bibliographical note

© 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

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10.1103/PhysRevD.98.065014

deSitter_static_chart
© 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
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Cite this

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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.",

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