Quasinormal modes in charged fluids at complex momentum
arXiv:2007.14418 · doi:10.1007/JHEP10(2020)121
Abstract
We investigate the convergence of relativistic hydrodynamics in charged fluids, within the framework of holography. On the one hand, we consider the analyticity properties of the dispersion relations of the hydrodynamic modes on the complex frequency and momentum plane and on the other hand, we perform a perturbative expansion of the dispersion relations in small momenta to a very high order. We see that the locations of the branch points extracted using the first approach are in good quantitative agreement with the radius of convergence extracted perturbatively. We see that for different values of the charge, different types of pole collisions set the radius of convergence. The latter turns out to be finite in the neutral case for all hydrodynamic modes, while it goes to zero at extremality for the shear and sound modes. Furthermore, we also establish the phenomenon of pole-skipping for the Reissner-Nordstrom black hole, and we find that the value of the momentum for which this phenomenon occurs need not be within the radius of convergence of hydrodynamics.
arXiv comment7 figures
References in corpus (30)
- Quasinormal modes and holography
- Lectures on hydrodynamic fluctuations in relativistic theories
- New theories of relativistic hydrodynamics in the LHC era
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Master equations for perturbations of generalised static black holes with charge in higher dimensions
- Hydrodynamics of R-charged black holes
- Hydrodynamic gradient expansion in gauge theory plasmas
- A quantum hydrodynamical description for scrambling and many-body chaos
- Black hole scrambling from hydrodynamics
- Many-body chaos and energy dynamics in holography
- The complex life of hydrodynamic modes
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- On the convergence of the gradient expansion in hydrodynamics
- Entropy Production, Hydrodynamics, and Resurgence in the Primordial Quark-Gluon Plasma from Holography
- On the hydrodynamic attractor of Yang-Mills plasma
- Shear Modes, Criticality and Extremal Black Holes
- Effective Field Theory for Chaotic CFTs
- Resurgence in Extended Hydrodynamics
- Horizon constraints on holographic Green's functions
- Hydrodynamics, resurgence and trans-asymptotics
- How does relativistic kinetic theory remember about initial conditions?
- Holography and the sound of criticality
- Short-lived modes from hydrodynamic dispersion relations
- Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
- Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
- Fermionic pole-skipping in holography
- Gradient expansion for anisotropic hydrodynamics
- Real Time Dynamics in Low Point Correlators in 2d BCFT
- All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
- Master equations and stability of Einstein-Maxwell-scalar black holes
Cited by in corpus (40)
- Bounds on transport from univalence and pole-skipping
- Rigorous bounds on transport from causality
- Classifying pole-skipping points
- Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
- Pole-skipping and Rarita-Schwinger fields
- Pole-skipping and zero temperature
- Constraints on quasinormal modes and bounds for critical points from pole-skipping
- Pole skipping in holographic theories with bosonic fields
- Chaos and pole skipping in CFT
- Convergence of hydrodynamic modes: insights from kinetic theory and holography
- Hydrodynamic diffusion and its breakdown near AdS quantum critical points
- The breakdown of magneto-hydrodynamics near AdS fixed point and energy diffusion bound
- On the universality of AdS diffusion bounds and the breakdown of linearized hydrodynamics
- Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
- Thermal Stress Tensor Correlators, OPE and Holography
- Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
- How small hydrodynamics can go
- Hydrodynamic dispersion relations at finite coupling
- Pole skipping in holographic theories with gauge and fermionic fields
- The Hydrohedron: Bootstrapping Relativistic Hydrodynamics
- Upper bound of the charge diffusion constant in holography
- Breakdown of hydrodynamics from holographic pole collision
- Relativistic Hydrodynamics: A Singulant Perspective
- Construction of bulk solutions for towers of pole-skipping points
- Nonuniqueness of scattering amplitudes at special points
- Critical behaviour of hydrodynamic series
- Aspects of univalence in holographic axion models
- Quantum information scrambling and quantum chaos in little string theory
- Collective modes of polarizable holographic media in magnetic fields
- Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena
- Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
- Incoherent hydrodynamics of density waves in magnetic fields
- Perturbing a quantum black hole
- Characteristic momentum of Hydro+ and a bound on the speed of sound near the QCD critical point
- Transseries for causal diffusive systems
- Holographic thermal correlators: A tale of Fuchsian ODEs and integration contours
- Spontaneous Deformation of an AdS Spherical Black Hole
- The Algebraic Structure Underlying Pole-Skipping Points
- Universal thermalization dynamics in (1+1)d QFTs
- Gravitational quasinormal modes for Lifshitz black branes