TY - JOUR
T1 - Vacuum state of the Dirac field in de Sitter space and entanglement entropy
AU - Kanno, Sugumi
AU - Sasaki, Misao
AU - Tanaka, Takahiro
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/3/1
Y1 - 2017/3/1
N2 - 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 m2/H2 becomes small, and the difference is maximal in the massless limit.
AB - 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 m2/H2 becomes small, and the difference is maximal in the massless limit.
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U2 - 10.1007/JHEP03(2017)068
DO - 10.1007/JHEP03(2017)068
M3 - Article
AN - SCOPUS:85015876428
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 3
M1 - 68
ER -