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

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Date
2017-03-13
Author
Kanno, Sugumi
Sasaki, Misao
Tanaka, Takahiro
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Journal in High Energy Physics 3 : (2017) // Article ID 068
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http://hdl.handle.net/10810/21502
Abstract
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.
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Except where otherwise noted, this item's license is described as This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited