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Causality and classical dispersion relations

Raphael E. Hoult, Pavel Kovtun

2024Physical review. D/Physical review. D.18 citationsDOIOpen Access PDF

Abstract

We explore the consequences of relativistic causality and covariant stability for short-wavelength dispersion relations in classical systems. For excitations described by a finite number of partial differential equations, as is the case in relativistic hydrodynamics, we give causality and covariant stability constraints on the excitation’s frequency at large momenta. Published by the American Physical Society 2024

Topics & Concepts

Causality (physics)Dispersion (optics)MathematicsEconometricsMathematical economicsStatistical physicsPhysicsOpticsQuantum mechanicsBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNoncommutative and Quantum Gravity Theories
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