Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
arXiv:1606.06747 · doi:10.1007/JHEP11(2016)170
Abstract
We study the linearized transport of transverse momentum and charge in a conjectured field theory dual to a black brane solution of Horava gravity with Lifshitz exponent . As expected from general hydrodynamic reasoning, we find that both of these quantities are diffusive over distance and time scales larger than the inverse temperature. We compute the diffusion constants and conductivities of transverse momentum and charge, as well the ratio of shear viscosity to entropy density, and find that they differ from their relativistic counterparts. To derive these results, we propose how the holographic dictionary should be modified to deal with the multiple horizons and differing propagation speeds of bulk excitations in Horava gravity. When possible, as a check on our methods and results, we use the covariant Einstein-Aether formulation of Horava gravity, along with field redefinitions, to re-derive our results from a relativistic bulk theory.
arXiv commentv2: minor changes, added references; 30 pages, 1 figure
References in corpus (49)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Nonlinear Fluid Dynamics from Gravity
- Gravity with a dynamical preferred frame
- From AdS/CFT correspondence to hydrodynamics
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Gravity duals for non-relativistic CFTs
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- Models of non-relativistic quantum gravity: the good, the bad and the healthy
- Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
- Real-time gauge/gravity duality: Prescription, Renormalization and Examples
- Real-time gauge/gravity duality
- Lifshitz holography
- Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry
- Lifshitz Gravity for Lifshitz Holography
- Parity-Violating Hydrodynamics in 2+1 Dimensions
- The Hydrodynamics of M-Theory
- Resolving disagreement for eta/s in a CFT plasma at finite coupling
- Lifshitz spacetimes from AdS null and cosmological solutions
- Relativistic Quantum Gravity at a Lifshitz Point
- Incoherent transport in clean quantum critical metals
- From strong to weak coupling in holographic models of thermalization
- Transport properties of N=4 supersymmetric Yang-Mills theory at finite coupling
- Revisiting non-relativistic limits
- Non-relativistic holography from Horava gravity
- Shear viscosity of boost invariant plasma at finite coupling
- Towards thermodynamics of universal horizons in Einstein-æther theory
- On the universal identity in second order hydrodynamics
- Lifshitz Hydrodynamics
- Aspects of hot Galilean field theory
- Relaxation time of a CFT plasma at finite coupling
- String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals
- Second order hydrodynamics of a CFT plasma from boost invariant expansion
- Metric Redefinitions in Einstein-Aether Theory
- Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT
- Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions
- Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
- Einstein-aether theory with a Maxwell field: General formalism
- Universal horizons in maximally symmetric spaces
- Horava-Lifshitz Black Hole Hydrodynamics
- Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
- Universality of anomalous conductivities in theories with higher-derivative holographic duals
- Hyperscaling violation and the shear diffusion constant
- Asymptotically hyperbolic black holes in Horava gravity
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- Hořava Gravity at a Lifshitz Point: A Progress Report
- Perfect Fluids
- Non-Relativistic Gravity and its Coupling to Matter
- Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
- Non-Boost Invariant Fluid Dynamics
- Hydrodynamic Modes of Homogeneous and Isotropic Fluids
- Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
- Hydrodynamics without boosts
- Thermodynamics of multi-horizon spacetimes
- No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
- Notes on hyperscaling violating Lifshitz and shear diffusion
- Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hořava Gravity
- Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
- New Asymptotically Lifshitz Black Holes in Horava gravity
- Holography and gravity with a dynamical aether
- Flow of shear response functions in hyperscaling violating Lifshitz theories