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Journal of High Energy Physics

, 2010:21 | Cite as

Holographic operator mixing and quasinormal modes on the brane

  • Matthias KaminskiEmail author
  • Karl Landsteiner
  • Javier Mas
  • Jonathan P. Shock
  • Javier Tarrío
Article

Abstract

We provide a framework for calculating holographic Green’s functions from general bilinear actions and fields obeying coupled differential equations in the bulk. The matrix-valued spectral function is shown to be independent of the radial bulk coordinate, and hence, free from renormalization ambiguities. Applying this framework we improve the analysis of fluctuations in the D3/D7 system at finite baryon density, where the longitudinal perturbations of the world-volume gauge field couple to the scalar fluctuations of the brane embedding. We compute the spectral function and show how its properties are related to those of the quasinormal mode spectrum. We study the crossover from the hydrodynamic diffusive to the reactive regime and the movement of quasinormal modes as functions of temperature and density. We also compute their dispersion relations and find that they asymptote to the lightcone for large momenta.

Keywords

AdS-CFT Correspondence Black Holes in String Theory 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Matthias Kaminski
    • 1
    • 2
    Email author
  • Karl Landsteiner
    • 2
  • Javier Mas
    • 3
    • 4
  • Jonathan P. Shock
    • 3
    • 4
  • Javier Tarrío
    • 3
    • 4
  1. 1.Department of PhysicsPrinceton UniversityPrincetonU.S.A.
  2. 2.Instituto de Física Teórica CSIC-UAMC-XVI Universidad Autónoma de MadridMadridSpain
  3. 3.Depto. de Física de PartículasUniversidade de Santiago de CompostelaSantiago de CompostelaSpain
  4. 4.Instituto Galego de Física de Altas Enerxías (IGFAE)Santiago de CompostelaSpain

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