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

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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 languageEnglish
Article number125005
JournalPhysical Review D
Issue number12
Publication statusPublished - 8 Jun 2021

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