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Author
J. de Boer
M.P. Heller
N. Pinzani-Fokeeva
Year
2015
Title
Effective actions for relativistic fluids from holography
Journal
The Journal of High Energy Physics
Volume | Issue number
2015 | 8
Article number
86
Number of pages
37
Document type
Article
Faculty
Faculty of Science (FNWI)
Institute
Institute for Theoretical Physics Amsterdam (ITFA)
Abstract
Motivated by recent progress in developing action formulations of relativistic hydrodynamics, we use holography to derive the low energy dissipationless effective action for strongly coupled conformal fluids. Our analysis is based on the study of novel double Dirichlet problems for the gravitational field, in which the boundary conditions are set 011 two codimension one flutelike hypersurfaces (branes). We provide a geometric interpretation of the Goldstone bosons appearing in such constructions in terms of a family of spatial geodesics extending between the ultraviolet and the infrared brane. Furthermore, we discuss supplementing double Dirichlet problems with information about the near-horizon geometry. We show that upon coupling to a membrane paradigm boundary condition, our approach reproduces correctly the complex dispersion relation for both sound and shear waves. We also demonstrate that upon a Wick rotation, our formulation reproduces the equilibrium partition function formalism, provided the near- horizon geometry is properly accounted for. Finally, we define the conserved hydrodynamic entropy current as the Noether current associated with a particular transformation of the Goldstone bosons.
URL
go to publisher's site
Language
English
Permalink
http://hdl.handle.net/11245/1.496306
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  • Effective actions for relativistic fluids from holography

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