Entanglement of the Vacuum between Left, Right, Future, and Past: Dirac spinor in Rindler spaces and Kasner spaces

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

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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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arxiv 2104.06625 v1 pith:BJSD4SQ5 submitted 2021-04-14 gr-qc hep-thquant-ph

Kazushige Ueda , Atsushi Higuchi , Kazuhiro Yamamoto , Ar Rohim , Yue Nan This is my paper · ORCID

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keywords kasnerrindlervacuumdiracentanglementfrequencyfunctionsminkowski

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We study the relations of the positive frequency mode functions of Dirac field 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 unified manner which derives vacuum entanglement.

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