Quasinormal Modes and Correlators in the Shear Channel of Spacetime-Filling Branes
arXiv:1807.11390
Abstract
We study the shear momentum diffusion and related modes of a strongly coupled -dimensional conformal field theory at finite temperature and chemical potential, using a dual holographic description. We consider a space-time filling charged black brane solution of Einstein's gravity in -dimensional asymptotically Anti-de Sitter space coupled to a gauge field via a Dirac-Born-Infeld action. In addition to temperature and chemical potential, the holographic model has two other parameters: the tension of the brane, and the non-linearity parameter controlling the higher-derivative terms of the field. By varying the parameters, one can, in particular, interpolate between the Reissner-Nordstrom-AdS background and the background of probe branes embedded into AdS space. We find analytically the retarded two-point functions of the shear (transverse to the direction of spatial momentum) components of the energy-momentum tensor and the global current of the -dimensional field theory in the hydrodynamic approximation. We also find numerically the location of the poles of the correlators (quasinormal modes) for a wide range of the parameters, focusing on the effects of the back-reaction and non-linearities. We show, in particular, that the shear diffusion constant agrees with the hydrodynamic form for a wide range of parameters, including temperature and backreaction.
arXiv comment34 pages, 53 pdf files in 11 figures, 7 gif animations and one appendix
References in corpus (35)
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Lectures on holographic methods for condensed matter physics
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- From AdS/CFT correspondence to hydrodynamics
- On the Holographic Renormalization Group
- Quasinormal modes and holography
- Holographic duality with a view toward many-body physics
- Fluid dynamics of R-charged black holes
- Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
- Universality of the shear viscosity in supergravity
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Non-zero temperature transport near quantum critical points
- Holographic quantum matter
- Hydrodynamics of R-charged black holes
- Born-Infeld black holes in the presence of a cosmological constant
- Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
- Ohm's Law at strong coupling: S duality and the cyclotron resonance
- Quantum oscillations and black hole ringing
- Zero Sound from Holography
- Constructing higher-order hydrodynamics: The third order
- Shear Modes, Criticality and Extremal Black Holes
- Universal conductivity and central charges
- Universality of second order transport coefficients from the gauge-string duality
- Quasinormal spectrum and the black hole membrane paradigm
- The Pauli exclusion principle at strong coupling: Holographic matter and momentum space
- Hydrodynamics of cold holographic matter
- On the Dirac-Born-Infeld Action for D-branes
- Many faces of Born-Infeld theory
- AdS/CFT and Landau Fermi liquids
- Shear channel correlators from hot charged black holes
- Holographic Zero Sound from Spacetime-Filling Branes
- Holography and condensed matter
- Flavours and Infra-red Instability in Holography
- Thermodynamics of Einstein-DBI System