Geometric Entropy and Hagedorn/Deconfinement Transition
High Energy Physics - Theory
2008-11-26 v2 High Energy Physics - Lattice
Abstract
It has recently been proposed that the entanglement entropy can be an order parameter of confinement/deconfinement transitions. To find a clear evidence, we introduce a new quantity called the geometric entropy, which is related to the entanglement entropy via a double Wick rotation. We analyze the geometric entropy and manifestly show that its value becomes discontinuous at the Hagedorn temperature both in the free N =4 super Yang-Mills and in its supergravity dual.
Cite
@article{arxiv.0806.3118,
title = {Geometric Entropy and Hagedorn/Deconfinement Transition},
author = {Mitsutoshi Fujita and Tatsuma Nishioka and Tadashi Takayanagi},
journal= {arXiv preprint arXiv:0806.3118},
year = {2008}
}
Comments
18 pages, 2 figures, v2: reference added