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Classical and quantum temperature fluctuations via holography

  • Alexander Balatsky
  • Sven Bjarke Gudnason
  • Yaron Kedem
  • Alexander Krikun
  • Lárus Thorlacius
  • Konstantin Zarembo
Open Access
Regular Article - Theoretical Physics

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 high 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.

Keywords

AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) Black Holes 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Alexander Balatsky
    • 1
    • 2
  • Sven Bjarke Gudnason
    • 1
  • Yaron Kedem
    • 1
  • Alexander Krikun
    • 1
    • 3
  • Lárus Thorlacius
    • 1
    • 4
    • 5
  • Konstantin Zarembo
    • 1
    • 3
    • 6
  1. 1.Nordita, KTH Royal Institute of Technology and Stockholm UniversityStockholmSweden
  2. 2.Institute for Materials ScienceLos Alamos National LaboratoryLos AlamosU.S.A.
  3. 3.Institute of Theoretical and Experimental PhysicsMoscowRussia
  4. 4.University of Iceland, Science InstituteReykjavikIceland
  5. 5.The Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm UniversityAlbaNova University CentreStockholmSweden
  6. 6.Department of Physics and AstronomyUppsala UniversityUppsalaSweden

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