Vacuum state of the Dirac field in de Sitter space and entanglement entropy

• 菅野, 優美

  Department of Theoretical Physics and History of ScienceUniversity of the Basque Country・IKERBASQUE, Basque Foundation for Science

• 佐々木, 節

  Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto University

• 田中, 貴浩

  Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto University・Department of PhysicsKyoto University

抄録

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.

JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0.

収録刊行物

• Journal of High Energy Physics

  Journal of High Energy Physics 2017 (03), 2017-03

  Springer Berlin Heidelberg

キーワード

• Classical Theories of Gravity
• Effective Field Theories

詳細情報

• CRID: 1050564285808213248
• NII論文ID: 120006410706
• ISSN: 10298479
• DOI: 10.1007/jhep03(2017)068
• HANDLE: 2433/229533
• Web Site: http://link.springer.com/content/pdf/10.1007/JHEP03(2017)068.pdf
• 本文言語コード: en
• 資料種別: journal article
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