Classical and quantum temperature fluctuations via holography
High Energy Physics - Theory
2015-01-16 v3 Statistical Mechanics
General Relativity and Quantum Cosmology
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-Nordstr\"om black hole in global AdS.
Cite
@article{arxiv.1405.4829,
title = {Classical and quantum temperature fluctuations via holography},
author = {Alexander Balatsky and Sven Bjarke Gudnason and Yaron Kedem and Alexander Krikun and Larus Thorlacius and Konstantin Zarembo},
journal= {arXiv preprint arXiv:1405.4829},
year = {2015}
}
Comments
LaTeX: 31 pages, 7 figures; V2: reference added; V3: added/updated charged case