PIRSA:08120025 Scientific Series Quantum Fields and Strings

DOI10.48660/08120025

Series: Quantum Fields and Strings

(2008). Hydrodynamics from scalar fields coupled to gravity. Perimeter Institute. https://pirsa.org/08120025

Hydrodynamics from scalar fields coupled to gravity. Perimeter Institute, Dec. 04, 2008, https://pirsa.org/08120025 

@misc{ pirsa_PIRSA:08120025,
  doi = {10.48660/08120025},
  url = {https://pirsa.org/08120025},
  author = {},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Hydrodynamics from scalar fields coupled to gravity},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {dec},
  note = {PIRSA:08120025 see, \url{https://pirsa.org}}
}

Abstract

In this talk I discuss methods to determine hydrodynamical dispersion relations from an extra-dimensional gravity dual wherein the metric is supported by scalar fields. Such a setup may eventually be used as a model of the strongly coupled plasma created in heavy ion collisions. I examine examples of both the shear and sound modes. The shear mode is analyzed using the black hole membrane paradigm; a calculation of the shear viscosity is reviewed, and then the calculation is extended to the next hydrodynamical order. All results agree with those found using the AdS/CFT prescription. The sound mode is analyzed by examining the quasi-normal modes of the dual black hole. The relevant gauge invariant equations are derived, and a special case solution of these equations is discussed.

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