Phys. Rev. D 75, 025027 (2007) [9 pages]Covariant Hamiltonian dynamicsReceived 28 December 2006; published 31 January 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.025027
DOI:
10.1103/PhysRevD.75.025027
PACS:
11.30.−j, 11.15.Kc
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