[Submitted on 21 Sept 2023] (cross-list from hep-th)
Causality and classical dispersion relations
Raphael E. Hoult🇨🇦 · Pavel Kovtun🇨🇦
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.
- Comments:
- 16 pages, 1 figure. v2: reference added, small clarifications. v3: reference added, published version
- Subjects:
- High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2309.11703 [pdf]