Covariant hamiltonian dynamics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, no figures

Scientific paper

10.1103/PhysRevD.75.025027

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

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