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Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
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Consistent formulations of relativistic viscous hydrodynamics involve short lived modes, leading to asymptotic rather than convergent gradient expansions. In this Letter we consider the Mueller-Israel-Stewart theory applied to a longitudinally expanding quark-gluon plasma system and identify hydrodynamics as a universal attractor without invoking the gradient expansion. We give strong evidence for the existence of this attractor and then show that it can be recovered from the divergent gradient expansion by Borel summation. This requires careful accounting for the short-lived modes which leads to an intricate mathematical structure known from the theory of resurgence.
Forward citations
Cited by 13 Pith papers
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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...
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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.
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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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On the temperature dependence of quasinormal modes in SYK and holography
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
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Cumulant dynamics in finite-memory diffusion
Finite current relaxation introduces memory effects that suppress, shift, and reshape non-monotonic cumulant behavior relative to instantaneous equilibrium and Fickian diffusion, most visibly in higher-order cumulants.
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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.
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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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Medium Characterization with Hard Probes: From Cherenkov Light in QED to Jet Drift in QCD
The work presents a dispersive fit for the refractive index of liquid argon incorporating anomalous dispersion and proposes jet drift in simulations of heavy-ion collisions as a way to disentangle medium properties fr...
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Validity of relativistic hydrodynamics beyond local equilibrium
Formal solutions of Boltzmann moment equations demonstrate that relativistic hydrodynamics works far from equilibrium because non-perturbative modes and modified transport coefficients enable interpolation between fre...
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Attractors in a Generalized Relativistic Second Order Spin Hydrodynamics
Derives early-time fixed point structure and late-time asymptotics for spin density attractors in generalized second-order spin hydrodynamics using Zubarev's formalism in the spin probe limit.
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Medium Characterization with Hard Probes: From Cherenkov Light in QED to Jet Drift in QCD
Presents a dispersive fit for liquid argon refractive index sensitive to Cherenkov angles and uses jet drift in APE simulations to disentangle QGP tomography from energy loss.
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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.
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