Strong Subadditivity and Emergent Surface
High Energy Physics - Theory
2014-10-01 v2
Abstract
In this paper, we introduce two bounds which we call the Upper Differential Entropy and the Lower Differential Entropy for an infinite family of intervals(strips) in quantum field theory. The two bounds are equal provided that the theory is translational invariant and the entanglement entropy varies smoothly with respect to the interval. When the theory has a holographic dual, strong subadditivity of entanglement entropy indicates that there is always an emergent surface whose gravitational entropy is exactly given by the bound.
Cite
@article{arxiv.1405.4684,
title = {Strong Subadditivity and Emergent Surface},
author = {Bin Chen and Jiang Long},
journal= {arXiv preprint arXiv:1405.4684},
year = {2014}
}
Comments
18 pages, 8 figures, replace "residual entropy" to "differential entropy"