Entanglement Entropy and Spatial Geometry

Details Entanglement Entropy and Spatial Geometry Entanglement Entropy and Spatial Geometry

2008-01-29

arxiv.org/abs/0801.4564v2

JHEP0807:095,2008

Physics

High Energy Physics

High Energy Physics - Theory

published version

Scientific paper

10.1088/1126-6708/2008/07/095

The entanglement entropy in a quantum field theory between two regions of
space has been shown in simple cases to be proportional to the volume of the
hypersurface separating the regions. We prove that this is true for a free
scalar field in an arbitrary geometry with purely spatial curvature and obtain
a complete asymptotic expansion for the entropy.

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