English

Covariant hamiltonian dynamics

High Energy Physics - Theory 2008-11-26 v2

Abstract

We discuss the covariant formulation of the dynamics of particles with abelian and non-abelian gauge charges in external fields. Using this formulation we develop an algorithm for the construction of constants of motion, which makes use of a generalization of the concept of Killing vectors and tensors in differential geometry. We apply the formalism to the motion of classical charges in abelian and non-abelian monopole fields

Keywords

Cite

@article{arxiv.hep-th/0612216,
  title  = {Covariant hamiltonian dynamics},
  author = {J. W. van Holten},
  journal= {arXiv preprint arXiv:hep-th/0612216},
  year   = {2008}
}

Comments

15 pages, no figures