A causal microscopic kinetic model can reproduce arbitrary rest-frame stable dissipative dispersion relations at real k through suitable initialization, providing a counterexample to claims that micro-causality alone restricts the analytic form of such relations.
Rigorous Bounds on Transport from Causality
10 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We use causality to derive a number of simple and universal constraints on dispersion relations, which describe the location of singularities of retarded two-point functions in relativistic quantum field theories. We prove that all causal dissipative dispersion relations have a finite radius of convergence. We then give two-sided bounds on all transport coefficients in units of this radius, including an upper bound on diffusivity.
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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.
In a thermal graviton bath the light-cone support of a scalar commutator is Gaussian with variance Var(x^{2})=16 G_N T t^{3}/3 after vacuum subtraction.
Any stand-alone dissipative hydrodynamic EFT is acausal; causal UV completions exist that preserve the exact IR hydrodynamic mode for subluminal sound speed and finite gradient-expansion radius.
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.
A model with unbounded energy-dependent relaxation times shows divergent gradient expansion and nonlocal hydrodynamics, resulting in superdiffusion for singular spectra.
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.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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.
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.
citing papers explorer
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How acausal equations emerge from causal dynamics
A causal microscopic kinetic model can reproduce arbitrary rest-frame stable dissipative dispersion relations at real k through suitable initialization, providing a counterexample to claims that micro-causality alone restricts the analytic form of such relations.
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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.
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Probabilistic Causality from Graviton Fluctuations
In a thermal graviton bath the light-cone support of a scalar commutator is Gaussian with variance Var(x^{2})=16 G_N T t^{3}/3 after vacuum subtraction.
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Causal UV completions of relativistic hydrodynamics
Any stand-alone dissipative hydrodynamic EFT is acausal; causal UV completions exist that preserve the exact IR hydrodynamic mode for subluminal sound speed and finite gradient-expansion radius.
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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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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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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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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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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.
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Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.