Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory
Abstract
In this paper, we derive the universal (cut-off-independent) part of the holographic entanglement entropy in the noncommutative Yang-Mills theory and examine its properties in detail. The behavior of the holographic entanglement entropy as a function of a scale of the system changes drastically between large noncommutativity and small noncommutativity. The strong subadditivity inequality for the entanglement entropies in the noncommutative Yang-Mills theory is modified in large noncommutativity. The behavior of entropic -function defined by means of the entanglement entropy also changes drastically between large noncommutativity and small noncommutativity. In addition, there is a transition for the entanglement entropy in the noncommutative Yang-Mills theory at finite temperature.
Keywords
Cite
@article{arxiv.2006.14165,
title = {Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory},
author = {Tadahito Nakajima},
journal= {arXiv preprint arXiv:2006.14165},
year = {2021}
}
Comments
25 pages, 10 figures; v2: minor corrections and references added, version to appear in Phys. Rev. D