Classical and quantum temperature fluctuations via holography
arXiv:1405.4829 · doi:10.1007/JHEP01(2015)011
Abstract
We study local temperature fluctuations in a 2+1 dimensional CFT on the sphere, dual to a black hole in asymptotically AdS spacetime. The fluctuation spectrum is governed by the lowest-lying hydrodynamic 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-Nordström black hole in global AdS.
LaTeX: 31 pages, 7 figures; V2: reference added; V3: added/updated charged case
References in corpus (24)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Quasinormal modes of black holes and black branes
- Charged AdS Black Holes and Catastrophic Holography
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- From AdS/CFT correspondence to hydrodynamics
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
- Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
- Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds
- Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
- Gravitational quasinormal modes for Anti-de Sitter black holes
- Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
- Expanding plasmas and quasinormal modes of anti-de Sitter black holes
- Universal conductivity and central charges
- Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
- Boundary Conditions for Kerr-AdS Perturbations
- Hawking Radiation and Non-equilibrium Quantum Critical Current Noise
- Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole
- Taking the Temperature of a Black Hole
- Out of Equilibrium Temperature from Holography
- Steady-state Physics, Effective Temperature Dynamics in Holography
- Low frequency quasi-normal modes of AdS black holes
- Quantum Nyquist Temperature Fluctuations