Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
On the convergence of the gradient expansion in hydrodynamics
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
abstract
Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterised by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We investigate the analytic structure and convergence properties of the hydrodynamic series by studying the associated spectral curve in the space of complexified frequency and complexified spatial momentum. For the strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills plasma, we use the holographic duality methods to demonstrate that the derivative expansions have finite non-zero radii of convergence. Obstruction to the convergence of hydrodynamic series arises from level-crossings in the quasinormal spectrum at complex momenta.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport at large density.
Normal mode analysis of the relativistic Boltzmann equation for massive particles reveals coupling between sound and heat channels, mass-dependent critical wavenumbers, and an infinite branch cut for Landau damping.
The analytic part of the stress-energy tensor at thermodynamic equilibrium has a universal covariant form independent of specific curved spacetime geometry for the massless scalar field, argued to hold for any quantum field theory.
A model with unbounded energy-dependent relaxation times shows divergent gradient expansion and nonlocal hydrodynamics, resulting in superdiffusion for singular spectra.
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
Gauss-Bonnet black branes in five-dimensional AdS gravity are unstable when the Gauss-Bonnet coupling falls outside the conformal collider bounds, with unstable modes connected to boundary causality-violating modes by phase rotation of complex boundary momentum.
citing papers explorer
-
Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
-
Linear response beyond hydrodynamic poles
Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport at large density.
-
Normal mode analysis within relativistic massive transport
Normal mode analysis of the relativistic Boltzmann equation for massive particles reveals coupling between sound and heat channels, mass-dependent critical wavenumbers, and an infinite branch cut for Landau damping.
-
Universal analytic dependence of the stress-energy tensor at thermodynamic equilibrium in curved space-time
The analytic part of the stress-energy tensor at thermodynamic equilibrium has a universal covariant form independent of specific curved spacetime geometry for the massless scalar field, argued to hold for any quantum field theory.
-
Hydrodynamics without a relaxation gap: memory effects, nonlocality, and superdiffusion
A model with unbounded energy-dependent relaxation times shows divergent gradient expansion and nonlocal hydrodynamics, resulting in superdiffusion for singular spectra.
-
Chiral Plasma under Strong Magnetic Fields: A Holographic Analysis of Transport Phenomena
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
-
Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
-
Instability of 5D Gauss-Bonnet black branes
Gauss-Bonnet black branes in five-dimensional AdS gravity are unstable when the Gauss-Bonnet coupling falls outside the conformal collider bounds, with unstable modes connected to boundary causality-violating modes by phase rotation of complex boundary momentum.