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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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.
Any standalone hydrodynamic EFT is acausal and requires UV completions with transient modes to restore causality.
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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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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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Causal UV completions of relativistic hydrodynamics
Any standalone hydrodynamic EFT is acausal and requires UV completions with transient modes to restore causality.