Realization of Holographic Entanglement Temperature for a Nearly-AdS boundary

Computing the holographic entanglement entropy proposed by Ryu-Takayanagi shows that thermal energy near boundary region in \(AdS_3\) gain maximum of the temperature. The absolute maxima of temperature is \(T^{Max}_{E}= \frac{4G_3 \epsilon_{\infty}}{l}\). By simple physical investigations it has bec...

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Bibliographic Details
Published inarXiv.org
Main Authors Momeni, D, Raza, M, Gholizade, H, Myrzakulov, R
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.06.2016
Subjects
Critical temperature
Entanglement
Phase transitions
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Thermal energy
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Summary:Computing the holographic entanglement entropy proposed by Ryu-Takayanagi shows that thermal energy near boundary region in \(AdS_3\) gain maximum of the temperature. The absolute maxima of temperature is \(T^{Max}_{E}= \frac{4G_3 \epsilon_{\infty}}{l}\). By simple physical investigations it has become possible to predict a phase transition of first order at critical temperature \(T_c\leq T_{E}\). As they predict a tail or root towards which the AdS space ultimately tend, the boundary is considered thermalized. The Phase transitions of this form have received striking theoretical and experimental verifications so far.
ISSN:2331-8422
DOI:10.48550/arxiv.1505.00215