Entanglement entropy and the Ricci flow
High Energy Physics - Theory
2008-11-26 v1 Statistical Mechanics
General Relativity and Quantum Cosmology
Differential Geometry
Quantum Physics
Abstract
We analyze the Ricci flow of a noncompact metric that describes a two-dimensional black hole. We consider entanglement entropy of a 2d black hole which is due to the quantum correlations between two subsystems: one is inside and the other is outside the black hole horizon. It is demonstrated that the entanglement entropy is monotonic along the Ricci flow.
Cite
@article{arxiv.hep-th/0609045,
title = {Entanglement entropy and the Ricci flow},
author = {Sergey N. Solodukhin},
journal= {arXiv preprint arXiv:hep-th/0609045},
year = {2008}
}
Comments
13 pages