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Vacuum state of the Dirac field in de Sitter space and entanglement entropy
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- Kanno, Sugumi
- Department of Theoretical Physics and History of ScienceUniversity of the Basque Country・IKERBASQUE, Basque Foundation for Science
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- Sasaki, Misao
- Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto University
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- Tanaka, Takahiro
- Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto University・Department of PhysicsKyoto University
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Description
We compute the entanglement entropy of a free massive Dirac field between two causally disconnected open charts in de Sitter space. We first derive the Bunch-Davies vacuum mode functions of the Dirac field. We find there exists no supercurvature mode for the Dirac field. We then give the Bogoliubov transformation between the Bunch-Davies vacuum and the open chart vacua that makes the reduced density matrix diagonal. We find that the Dirac field becomes more entangled than a scalar field as m(2)/H(2) becomes small, and the difference is maximal in the massless limit.
Journal
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- Journal of High Energy Physics
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Journal of High Energy Physics 2017 (03), 2017-03
Springer Berlin Heidelberg
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Details 詳細情報について
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- CRID
- 1050564285808213248
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- NII Article ID
- 120006410706
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- ISSN
- 10298479
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- HANDLE
- 10810/21502
- 2433/229533
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE