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Entanglement entropy and spatial geometry

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Published 22 July 2008 Published under licence by IOP Publishing Ltd
, , Citation Micheal S. Berger and Roman V. Buniy JHEP07(2008)095 DOI 10.1088/1126-6708/2008/07/095

1126-6708/2008/07/095

Abstract

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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10.1088/1126-6708/2008/07/095