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

Atsushi Higuchi; Kazushige Ueda; Kazuhiro Yamamoto; Ar Rohim; Yue Nan

doi:10.1103/PhysRevD.103.125005

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

Atsushi Higuchi, Kazushige Ueda, Kazuhiro Yamamoto, Ar Rohim, Yue Nan

Mathematics

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

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.

Original language	English
Article number	125005
Journal	Physical Review D
Volume	103
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.103.125005
Publication status	Published - 8 Jun 2021

Bibliographical note

© 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.

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10.1103/PhysRevD.103.125005

Entanglement_of_the_Vacuum_between_Left__Right__Future__and_Past__Dirac_spinor_in_Rindler_spaces_and_Kasner_spaces
© 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.
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Cite this

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AU - Rohim, Ar

AU - Nan, Yue

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