Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
arXiv:1309.6794 · doi:10.1007/JHEP03(2014)029
Abstract
We consider a covariant formulation of field theories with Lifshitz scaling, and analyze the energy-momentum tensor and the scale symmetry Ward identity. We derive the equation of state and the ideal Lifshitz hydrodynamics in agreement with arXiv:1304.7481, where they were determined by using thermodynamics and symmetry properties. We construct the charged ideal Lifshitz hydrodynamics in the generating functional framework as well as in the gravitational holographic dual description. At the first viscous order, an analysis of the entropy current reveals two additional transport coefficients (one dissipative and one dissipationless) compared to the neutral case, contributing to the charge current and to the asymmetric part of the energy-momentum tensor.
v2, 38 pages, improved discussion of dissipative terms, published version
References in corpus (26)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Quantum Criticality in Heavy Fermion Metals
- Nonlinear Fluid Dynamics from Gravity
- Quantum criticality
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Effective Holographic Theories for low-temperature condensed matter systems
- Gravitational Anomaly and Transport
- Topological Order and Conformal Quantum Critical Points
- Quantum Criticality
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Universal Quantum Viscosity in a Unitary Fermi Gas
- Quantum critical transport in clean graphene
- Relativistic Hydrodynamics with General Anomalous Charges
- Black holes in asymptotically Lifshitz spacetime
- Holographic stress tensor for non-relativistic theories
- Collective cyclotron motion of the relativistic plasma in graphene
- The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
- Non-relativistic holography from Horava gravity
- Conformal non-relativistic hydrodynamics from gravity
- Lifshitz Hydrodynamics
- A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation
- Lifshitz as a deformation of Anti-de Sitter
- Holographic Non-Abelian Charged Hydrodynamics from the Dynamics of Null Horizons
- Conformal Anomalies in Hydrodynamics
- Lifshitz from AdS at finite temperature and top down models
- Hyperscaling violation : a unified frame for effective holographic theories
Cited by in corpus (35)
- Lifshitz holography
- Perfect Fluids
- Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
- Non-Boost Invariant Fluid Dynamics
- Entropy current and equilibrium partition function in fluid dynamics
- Lifshitz Scale Anomalies
- Hydrodynamic Modes of Homogeneous and Isotropic Fluids
- Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
- Aspects of Non-Relativistic Quantum Field Theories
- Hydrodynamics without boosts
- Horava-Lifshitz Black Hole Hydrodynamics
- Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
- Lifshitz Anomalies, Ward Identities and Split Dimensional Regularization
- Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
- Topical Review on Skyrmions and Hall Transport
- Anomalous Hall viscosity at the Weyl semimetal/insulator transition
- Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
- Lifshitz Superfluid Hydrodynamics
- Ward Identities for Hall Transport
- Magnetoconductivity in chiral Lifshitz hydrodynamics
- Taking a critical look at holographic critical matter
- Asymptotically free lattice gauge theory in five dimensions
- Holographic fundamental matter in multilayered media
- A Classical String in Lifshitz-Vaidya Geometry
- Viscosity spectral function of a scale invariant non-relativistic fluid from holography
- Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
- Hyperscaling violation, quasinormal modes and shear diffusion
- Notes on hyperscaling violating Lifshitz and shear diffusion
- Constrained Hamiltonian analysis of a non relativistic Schrodinger field coupled with C-S gravity
- Quantum Lifshitz criticality in a frustrated two-dimensional XY model
- Lifshitz hydrodynamics at generic from a moving black brane
- Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
- Gravitational quasinormal modes for Lifshitz black branes
- Broken Lifshitz invariance, spin waves and hydrodynamics
- Flow of shear response functions in hyperscaling violating Lifshitz theories