Mutual information and the F-theorem
High Energy Physics - Theory
2015-06-23 v1
Abstract
Mutual information is used as a purely geometrical regularization of entanglement entropy applicable to any QFT. A coefficient in the mutual information between concentric circular entangling surfaces gives a precise universal prescription for the monotonous quantity in the c-theorem for d=3. This is in principle computable using any regularization for the entropy, and in particular is a definition suitable for lattice models. We rederive the proof of the c-theorem for d=3 in terms of mutual information, and check our arguments with holographic entanglement entropy, a free scalar field, and an extensive mutual information model.
Cite
@article{arxiv.1506.06195,
title = {Mutual information and the F-theorem},
author = {Horacio Casini and Marina Huerta and Robert C. Myers and Alexandre Yale},
journal= {arXiv preprint arXiv:1506.06195},
year = {2015}
}
Comments
80 pages, 16 figures