Classical mechanics of relativistic particle with colour
High Energy Physics - Theory
2019-10-24 v2
Abstract
Classical description of relativistic pointlike particle with intrinsic degrees of freedom such as isospin or colour is proposed. It is based on the Lagrangian of general form defined on the tangent bundle over a principal fibre bundle. It is shown that the dynamics splits into the external dynamics which describes the interaction of particle with gauge field in terms of Wong equations, and the internal dynamics which results in a spatial motion of particle via integrals of motion only. A relevant Hamiltonian description is built too.
Keywords
Cite
@article{arxiv.hep-th/9905131,
title = {Classical mechanics of relativistic particle with colour},
author = {A. Duviryak},
journal= {arXiv preprint arXiv:hep-th/9905131},
year = {2019}
}
Comments
8 pages, presented at 3rd Int. Conf. "Symmetry in Nonlin. Math. Phys." (12-18 July 1999, Kyiv)