Longitudinal Sound and Diffusion in Holographic Massive Gravity
arXiv:1905.09164 · doi:10.1007/JHEP10(2019)064
Abstract
We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density. We identify three hydrodynamic modes in this sector: a pair of sound modes and one diffusion mode. We numerically compute the dispersion relations of the hydrodynamic modes. The obtained speed and the attenuation of the sound modes are in agreement with the hydrodynamic predictions. On the contrary, we surprisingly find disagreement in the case of the diffusive mode; its diffusion constant extracted from the quasi-normal mode data does not agree with the expectations from hydrodynamics. We confirm our numerical results using analytic tools in the decoupling limit and we comment on some possible reasons behind the disagreement. Finally, we extend the analysis of the collective longitudinal modes beyond the hydrodynamic limit by displaying the dynamics of the higher quasi-normal modes at large frequencies and momenta.
v2: improved discussion, added analytic computation in the decoupling limit, references added
References in corpus (27)
- Lecture Notes on Holographic Renormalization
- From AdS/CFT correspondence to hydrodynamics
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- Collective modes and thermodynamics of the liquid state
- Momentum dissipation and effective theories of coherent and incoherent transport
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Rapid change of superconductivity and electron-phonon coupling through 19% doping in Bi2212
- Universal origin of boson peak vibrational anomalies in ordered crystals and in amorphous materials
- Holographic Phonons
- Viscosity bound violation in holographic solids and the viscoelastic response
- Emergence and evolution of -gap in spectra of liquid and supercritical states
- Solid Holography and Massive Gravity
- Theory of hydrodynamic transport in fluctuating electronic charge density wave states
- Black hole elasticity and gapped transverse phonons in holography
- Pinning of longitudinal phonons in holographic spontaneous helices
- Holographic quenches and anomalous transport
- Phases of holographic superconductors with broken translational symmetry
- Hydrodynamic theory of quantum fluctuating superconductivity
- Under The Dome: Doped holographic superconductors with broken translational symmetry
- Low frequency propagating shear waves in holographic liquids
- Conformal solids and holography
- Holographic Plasmon Relaxation with and without Broken Translations
- Drag phenomena from holographic massive gravity
- Elasticity bounds from Effective Field Theory
- Ward Identity and Homes' Law in a Holographic Superconductor with Momentum Relaxation
- Glass-induced enhancement of superconducting : Pairing via dissipative mediators
Cited by in corpus (32)
- Viscoelastic hydrodynamics and holography
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Colloquium: Hydrodynamics and holography of charge density wave phases
- Gapless and gapped holographic phonons
- Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
- Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
- Hydrodynamics for charge density waves and their holographic duals
- Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Effective Field Theory for Quasicrystals and Phasons Dynamics
- Homogeneous Holographic Viscoelastic Models & Quasicrystals
- On the universality of AdS diffusion bounds and the breakdown of linearized hydrodynamics
- Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
- Non-linear elasticity, yielding and entropy in amorphous solids
- U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
- Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
- Scale invariant solids
- Kasner interiors from analytic hairy black holes
- Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
- Phase relaxation and pattern formation in holographic gapless charge density waves
- Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
- Transverse Collective Modes in Interacting Holographic Plasmas
- Quasinormal modes of a semi-holographic black brane and thermalization
- Aspects of univalence in holographic axion models
- Holographic phonons by gauge-axion coupling
- A novel holographic quantum phase transition and butterfly velocity
- Solidity without inhomogeneity: Perfectly homogeneous, weakly coupled, UV-complete solids
- Deep learning-based holography for T-linear resistivity
- Mechanical stability of homogeneous holographic solids under finite shear strain
- Transport properties of a holographic model with novel gauge-axion coupling
- Hydrodynamic modes in holographic multiple-axion model
- Hydrodynamic magneto-transport in holographic charge density wave states