4.7 Article

Entanglement entropy in quantum gravity and the Plateau problem

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PHYSICAL REVIEW D
卷 77, 期 12, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.77.124002

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  1. National Research Foundation of Korea [AA] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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In a quantum gravity theory the entropy of entanglement S between the fundamental degrees of freedom spatially divided by a surface is discussed. Classical gravity is considered as an emergent phenomenon and arguments are presented that (1) S is a macroscopical quantity which can be determined without knowing a real microscopical content of the fundamental theory; (2) S is given by the Bekenstein-Hawking formula in terms of the area of a codimension 2 hypesurface B; (3) in static space-times B can be defined as a minimal hypersurface of a least volume separating the system in a constant-time slice. It is shown that properties of S are in agreement with basic properties of the von Neumann entropy. Explicit variational formulae for S in different physical examples are considered.

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