Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
arXiv:1611.04773 · doi:10.1007/JHEP03(2017)041
Abstract
The derivation of Lifshitz-invariant hydrodynamics from holography, presented in [arXiv:1508.02494] is generalized to arbitrary hyperscaling violating Lifshitz scaling theories with an unbroken U(1) symmetry. The hydrodynamics emerging is non-relativistic with scalar "forcing". By a redefinition of the pressure it becomes standard non-relativistic hydrodynamics in the presence of specific chemical potential for the mass current. The hydrodynamics is compatible with the scaling theory of Lifshitz invariance with hyperscaling violation. The bulk viscosity vanishes while the shear viscosity to entropy ratio is the same as in the relativistic case. We also consider the dimensional reduction ansatz for the hydrodynamics and clarify the difference with previous results suggesting a non-vanishing bulk viscosity.
52 pages, v2: published version, many minor misprints corrected, 55 pages
References in corpus (31)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Nonlinear Fluid Dynamics from Gravity
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Gravity duals for non-relativistic CFTs
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Effective Holographic Theories for low-temperature condensed matter systems
- Topological Order and Conformal Quantum Critical Points
- Non-relativistic holography
- Universal Quantum Viscosity in a Unitary Fermi Gas
- Quantum critical transport in clean graphene
- Local Fluid Dynamical Entropy from Gravity
- Universal hydrodynamics of non-conformal branes
- Holographic stress tensor for non-relativistic theories
- Lifshitz Space-Times for Schroedinger Holography
- Collective cyclotron motion of the relativistic plasma in graphene
- Quantum critical lines in holographic phases with (un)broken symmetry
- Holography for Schrodinger backgrounds
- Lifshitz holography: The whole shebang
- Conformal non-relativistic hydrodynamics from gravity
- Aspects of hot Galilean field theory
- Electromagnetic properties of viscous charged fluids
- Conductivities for Hyperscaling Violating Geometries
- Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
- Holographic Equilibration of Nonrelativistic Plasmas
- Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
- Generalized dilatation operator method for non-relativistic holography
- Graphene - a nearly perfect fluid
- Charged, conformal non-relativistic hydrodynamics
- Intrinsic ambiguity in second order viscosity parameters in relativistic hydrodynamics
Cited by in corpus (13)
- Perfect Fluids
- Non-Boost Invariant Fluid Dynamics
- Hyperscaling violating black holes with spherical and hyperbolic horizons
- Hydrodynamic Modes of Homogeneous and Isotropic Fluids
- First order non-Lorentzian fluids, entropy production and linear instabilities
- Greybody Factors of Holographic Superconductors with Lifshitz Scaling
- Non-Relativistic Four Dimensional p-Brane Supersymmetric Theories and Lie Algebra Expansion
- Hyperscaling violation, quasinormal modes and shear diffusion
- Notes on hyperscaling violating Lifshitz and shear diffusion
- Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
- Quantum Critical Diffusion and Thermodynamics in Lifshitz Holography
- Stranger than Metals
- Flow of shear response functions in hyperscaling violating Lifshitz theories