Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler spaces and Kasner spaces

Abstract

We study the relations of the positive frequency mode functions of Dirac eld in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the explicit form of the Minkowski vacuum state with the quantum states in Kasner and Rindler regions, and analytically continue the solutions. As a result, we obtain the correspondence of the positive frequency mode functions in Kasner region and Rindler region in a unied manner which derives vacuum entanglement.

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Authors/Creators:	Higuchi, Atsushi https://orcid.org/0000-0002-3703-7021 Ueda, Kazushige Yamamoto, Kazuhiro Rohim, Ar Nan, Yue
Copyright, Publisher and Additional Information:	© 2021 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: 11 May 2021 Published: 8 June 2021
Institution:	The University of York
Academic Units:	The University of York > Faculty of Sciences (York) > Mathematics (York)
Depositing User:	Pure (York)
Date Deposited:	12 May 2021 12:00
Last Modified:	07 Feb 2024 00:21
Published Version:	https://doi.org/10.1103/PhysRevD.103.125005
Status:	Published
Refereed:	Yes
Identification Number:	https://doi.org/10.1103/PhysRevD.103.125005

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Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler spaces and Kasner spaces

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