English

Causality and classical dispersion relations

High Energy Physics - Theory 2024-02-29 v3 High Energy Physics - Phenomenology Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2309.11703,
  title  = {Causality and classical dispersion relations},
  author = {Raphael E. Hoult and Pavel Kovtun},
  journal= {arXiv preprint arXiv:2309.11703},
  year   = {2024}
}

Comments

16 pages, 1 figure. v2: reference added, small clarifications. v3: reference added, published version

R2 v1 2026-06-28T12:27:48.159Z