The a-theorem and entanglement entropy
High Energy Physics - Theory
2013-07-04 v3 Statistical Mechanics
General Relativity and Quantum Cosmology
Abstract
The a-theorem is demonstrated for the RG flows of entanglement entropy in two and four dimensions. In four dimensions we relate it to the term quadratic in intrinsic derivative of the dilaton along the entangling surface in the dilaton entropy. The a-theorem, similarly to the c-theorem in two dimensions, then follows from the positivity of the 2-point function of stress-energy tensor. We suggest that the a-theorem, provided it is properly reformulated in terms of the entanglement entropy, may follow from the c-theorem.
Keywords
Cite
@article{arxiv.1304.4411,
title = {The a-theorem and entanglement entropy},
author = {Sergey N. Solodukhin},
journal= {arXiv preprint arXiv:1304.4411},
year = {2013}
}
Comments
20 pages, no figures; v3: new section 5.3 added, references updated