Realization of Holographic Entanglement Temperature for a Nearly-AdS boundary

Abstract

Computing the holographic entanglement entropy proposed by Ryu-Takayanagi shows that thermal energy near boundary region in $Ad{S}_3$ gain maximum of the temperature. The absolute maxima of temperature is $T_E^{Max}=\frac{4G_3{\epsilon }_{\infty }}{l}$. By simple physical investigations it has become possible to predict a phase transition of first order at critical temperature $T_c\le T_E$. 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.

version accepted for publication in International Journal of Theoretical Physics, 9 pages

References in corpus (7)

• Thermodynamical Property of Entanglement Entropy for Excited States
• On entanglement entropy functionals in higher derivative gravity theories
• Holographic Entanglement Entropy of Multiple Strips
• Holographic Entanglement Entropy at Finite Temperature
• Holographic entanglement entropy in general holographic superconductor models
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Renormalized Entanglement Entropy for BPS Black Branes

Cited by in corpus (7)

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• Holographic entanglement entropy probe on spontaneous symmetry breaking with vector order
• Phase transition via entanglement entropy in $Ad{S}_3/CF{T}_2$ superconductors