@article{199adcc025734370b8386d80cffd0231,
title = "Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces",
abstract = "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.",
author = "Kazushige Ueda and Atsushi Higuchi and Kazuhiro Yamamoto and Ar Rohim and Yue Nan",
note = "Funding Information: We thank A. Matsumura, Y. Sugiyama, H. Suzuki for valuable discussions, and we also thank Y. Kojima, Y. Nambu, J. Soda, S. Kanno, S. Iso, T. Tanaka, and S-Y. Lin for helpful comments. This work was supported by Japan Society for the Promotion of Science (JSPS) Grants No. 20J22946 (K. U.), No. 20J13640 (Y. N.), Japanese Government (Monbukagakusho: MEXT) Scholarship (A. R.), Japan Society for the Promotion of Science (JSPS) KAKENHI Grants No. 15H05895, No. 17K05444 (K. Y.) and the Grant No. RPG-2018-400 from the Leverhulme Trust (A. H.). Publisher Copyright: {\textcopyright} 2021 American Physical Society.",
year = "2021",
month = jun,
day = "15",
doi = "10.1103/PhysRevD.103.125005",
language = "English",
volume = "103",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "12",
}