Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
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Relativistic viscous hydrodynamics, conformal invariance, and holography
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abstract
We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) second-order transport coefficients in the strongly coupled N=4 supersymmetric Yang-Mills theory. We also discuss how these new coefficents can arise within the kinetic theory of weakly coupled conformal plasmas. We point out that the Mueller-Israel-Stewart theory, often used in numerical simulations, does not contain all allowed second-order terms and, frequently, terms required by conformal invariance.
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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.
A unified exact boost-invariant solution of the relativistic Boltzmann equation is derived for flat, spherical, and hyperbolic foliations of dS3 x R, yielding the new Grozdanov flow on the hyperbolic slicing.
Out-of-equilibrium superfluids in Bjorken, Gubser and FLRW flows reach hydrodynamic attractors after an initial-condition-dependent attractor time, with a novel nonlinear constant-anisotropy regime in Gubser evolution.
A method using ultra-high boost stability analysis and gamma-suppression derives necessary causality conditions for relativistic hydrodynamics, demonstrated in conformal Muller-Israel-Stewart theory.
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.
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.
A new model of energy density fluctuations in heavy-ion collisions, built from elementary 1/r^2 sources, reproduces CGC one- and two-point functions to leading-log accuracy and explains the centrality dependence of both elliptic and triangular flow.
Ricci cosmology adds curvature-matter coupling terms to the stress-energy tensor, enabling analytic inflationary solutions in standard flat FLRW cosmology without Lambda or new scalar fields.
VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.
Coupled BDNK MHD evolution in boost-invariant flow enhances cooling and suppresses the low-mass dilepton spectrum via magnetic-thermal feedback.
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.
citing papers explorer
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All-order fluctuating hydrodynamics of the SYK lattice
Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
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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.
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Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries
A unified exact boost-invariant solution of the relativistic Boltzmann equation is derived for flat, spherical, and hyperbolic foliations of dS3 x R, yielding the new Grozdanov flow on the hyperbolic slicing.
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Superfluids in expanding backgrounds and attractor times
Out-of-equilibrium superfluids in Bjorken, Gubser and FLRW flows reach hydrodynamic attractors after an initial-condition-dependent attractor time, with a novel nonlinear constant-anisotropy regime in Gubser evolution.
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Necessary conditions for causality from linearized stability at ultra-high boosts
A method using ultra-high boost stability analysis and gamma-suppression derives necessary causality conditions for relativistic hydrodynamics, demonstrated in conformal Muller-Israel-Stewart theory.
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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.
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Bootstrapping transport in the Drude-Kadanoff-Martin model
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
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Loops Outside a Black Hole
Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.
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Radiation in Fluid/Gravity and the Flat Limit
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
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Analytic structure of stress-energy response functions and new Kubo formulae
Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.
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Primordial fluctuations in heavy-ion collisions
A new model of energy density fluctuations in heavy-ion collisions, built from elementary 1/r^2 sources, reproduces CGC one- and two-point functions to leading-log accuracy and explains the centrality dependence of both elliptic and triangular flow.
-
Ricci cosmology
Ricci cosmology adds curvature-matter coupling terms to the stress-energy tensor, enabling analytic inflationary solutions in standard flat FLRW cosmology without Lambda or new scalar fields.
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Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.
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Relativistic BDNK MHD Evolution in a Boost-Invariant Medium and Its Impact on Dilepton Production
Coupled BDNK MHD evolution in boost-invariant flow enhances cooling and suppresses the low-mass dilepton spectrum via magnetic-thermal feedback.
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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.