Vacuum state of the Dirac field in de Sitter space and entanglement entropy
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JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0.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 of High Energy Physics
Journal of High Energy Physics 2017(03), 2017-03
Springer Berlin Heidelberg