Entanglement Entropy in Quantum Gravity and the Plateau Problem
| dc.creator | Fursaev, Dmitri V. | |
| dc.date | 2007-11-08 | |
| dc.date.accessioned | 2026-07-07T11:38:37Z | |
| dc.date.available | 2026-07-07T11:38:37Z | |
| dc.description | In a quantum gravity theory the entropy of entanglement $S$ between the fundamental degrees of freedom spatially divided by a surface is discussed. The 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 co-dimension 2 hypesurface $\cal B$; 3) in static space-times $\cal B$ 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. | |
| dc.description | 24 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/0711.1221 | |
| dc.identifier | http://arxiv.org/abs/0711.1221 | |
| dc.identifier | Phys.Rev.D77:124002,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.124002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199631 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Entanglement Entropy in Quantum Gravity and the Plateau Problem | |
| dc.type | text |