Interaction anomalies and one-particle dynamics in very special relativity theories
Mathematical Physics
2025-05-14 v1 Differential Geometry
Dynamical Systems
math.MP
Abstract
It is well known that relativistic invariance introduce strong constraints in the interactions of classical particles. We generalize the non-interaction theorems for Lorentz violating systems which still preserve a subgroup of Poincar\'e symmetry. In particular we analize the case of very special relativity introduced by Cohen and Glashow. We also extend the analysis for Galilei invariant multiparticle systems and for some anisotropic systems which are still invariant under some maximal subgroups of Galilei group.
Keywords
Cite
@article{arxiv.2505.08329,
title = {Interaction anomalies and one-particle dynamics in very special relativity theories},
author = {Manuel Asorey and Fernando Falceto and Giuseppe Marmo},
journal= {arXiv preprint arXiv:2505.08329},
year = {2025}
}
Comments
11 pages, devoted to the memory of Miguel C. Mu\~noz Lecanda