Entanglement Entropy Flow and the Ward Identity
High Energy Physics - Theory
2014-12-31 v2 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Abstract
We derive differential equations for the flow of entanglement entropy as a function of the metric and the couplings of the theory. The variation of the universal part of entanglement entropy under a local Weyl transformation is related to the variation under a local change in the couplings. We show that this relation is in fact equivalent to the trace Ward identity. As a concrete application of our formalism, we express the entanglement entropy for massive free fields as a two-point function of the energy-momentum tensor.
Keywords
Cite
@article{arxiv.1406.2716,
title = {Entanglement Entropy Flow and the Ward Identity},
author = {Vladimir Rosenhaus and Michael Smolkin},
journal= {arXiv preprint arXiv:1406.2716},
year = {2014}
}
Comments
4 pages; minor clarifications and references added