Non-equilibrium thermodynamics near the horizon and holography

Content Provider	Semantic Scholar
Author	Fujita, Mitsutoshi
Copyright Year	2008
Abstract	Small perturbations of a black brane are interpreted as small deviations from thermodynamic equilibrium in a dual theory with the AdS/CFT correspondence. In this paper, we calculate hydrodynamics of the dual Yang-Mills theory in the gravity side using membrane paradigm. This method is different from the usual AdS/CFT correspondence and evaluate classical solutions not at boundaries but at a place slightly away from a horizon. There are sound modes or shear modes for gravity perturbation. For sound modes, such calculation at the horizon has not yet been done. Then, we find that boundary stress tensor at the horizon satisfies conservation law in flat space and can represent dissipative parts of stress tensor in the dual theory by holography. Using them, we can read off directly shear and bulk viscosity of the dual theory. Quasi-normal modes are solutions to linearized equations obeyed by classical fluctuations of a gravitational background subject to specific boundary conditions and are also gauge-invariant quantities. We use solutions for each fluctuation that compose such quantities and show that quasi-normal modes are consistent with the membrane paradigm. 1 E-mail address : mfujita@gauge.scphys.kyoto-u.ac.jp 1
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Alternate Webpage(s)	http://arxiv.org/pdf/0712.2289v1.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/0712.2289v6.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/0712.2289v3.pdf
Language	English
Access Restriction	Open
Subject Keyword	Calcifying Fibrous Pseudotumor Dual Email Holography Kind of quantity - Equilibrium Normal mode Programming paradigm Quantum fluctuation Solutions Thermodynamics Tissue membrane YANG
Content Type	Text
Resource Type	Article