Classical and quantum temperature fluctuations via holography

Technical Report · Tue May 27 00:00:00 EDT 2014

DOI:https://doi.org/10.2172/1133316· OSTI ID:1133316

Balatsky, Alexander V. ^[1]; Gudnason, Sven Bjarke ^[2]; Thorlacius, Larus ^[3]; Zarembo, Konstantin ^[4]; Krikun, Alexander ^[5]; Kedem, Yaron ^[2]

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1. KTH Royal Inst. of Technology, Stockholm (Sweden); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
2. KTH Royal Inst. of Technology, Stockholm (Sweden)
3. KTH Royal Inst. of Technology, Stockholm (Sweden); University of Iceland, Reykjavik (Iceland)
4. KTH Royal Inst. of Technology, Stockholm (Sweden); Inst. of Theoretical and Experimental Physics (ITEP), Moscow (Russian Federation); Uppsala Univ. (Sweden)
5. KTH Royal Inst. of Technology, Stockholm (Sweden); Inst. of Theoretical and Experimental Physics (ITEP), Moscow (Russian Federation)

We study local temperature fluctuations in a 2+1 dimensional CFT on the sphere, dual to a black hole in asymptotically AdS space-time. The fluctuation spectrum is governed by the lowest-lying hydrodynamic sound modes of the system whose frequency and damping rate determine whether temperature fluctuations are thermal or quantum. We calculate numerically the corresponding quasinormal frequencies and match the result with the hydrodynamics of the dual CFT at large temperature. As a by-product of our analysis we determine the appropriate boundary conditions for calculating low-lying quasinormal modes for a four-dimensional Reissner-Nordstrom black hole in global AdS.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: ERC DM 32101
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 1133316
• Report Number(s): LA-UR-14-23707
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ASTRONOMY
ASTROPHYSICS
HAWKING RADIATION
TEMPERATURE
FLUCTUATIONS
ANTI DE SITTER
BLACK HOLE