A c-theorem for the entanglement entropy
Statistical Mechanics
2008-11-26 v2 High Energy Physics - Theory
Abstract
The combination of the Lorentz symmetry and the strong subadditive property of the entropy leads to a c-theorem for the entanglement entropy in 1+1 dimensions. We present a simple derivation of this theorem and compare the associated c-functions with the Zamolodchikov's ones for the case of free fields. We discuss the various difficulties which obstacle the naive generalizations of the entropic c-theorem to higher dimensions.
Keywords
Cite
@article{arxiv.cond-mat/0610375,
title = {A c-theorem for the entanglement entropy},
author = {H. Casini and M. Huerta},
journal= {arXiv preprint arXiv:cond-mat/0610375},
year = {2008}
}
Comments
6 pages, 2 figures. Talk given at the conference IRGAC 2006: 2nd. Intern. Conf. on Quantum Theories and Renormalization Group in Gravity and Cosmology (Barcelona, jun. 2006). Reference added