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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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.
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 free streaming and hydrodynamic regimes.
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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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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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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 free streaming and hydrodynamic regimes.