Hydrodynamics from scalar fields coupled to gravity

          @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.