# The Duality in the Formulation of a Classical Particle in a Yang-NIills Field

@inproceedings{Anshelevich1995TheDI, title={The Duality in the Formulation of a Classical Particle in a Yang-NIills Field}, author={M. Anshelevich}, year={1995} }

1. Given a manifold X and a closed 2-form B on it, we can consider a new symplectic form on To.X, D = D·t B (where D·t is the canonical symplectic form, and we identify B with its lift 11"* B to To.X). Such a form is always nondegenerate by Proposition 6.6.2 in Marsden [2], and hence gives a non-canonical symplectic structure on r X. If B is in fact an exact form, B = dA for some I-form A on X, then the equations of motion given by D and some Hamiltonian H are exactly the same as those given by… Expand

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