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Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations

✍ Scribed by Richard Montgomery

Publisher
Springer
Year
1984
Tongue
English
Weight
316 KB
Volume
8
Category
Article
ISSN
0377-9017

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✦ Synopsis

Wong [14]

introduced equations of motion for a spin 0 particle in a Yang-Mills field which was widely accepted among physicists. It is shown that these are equivalent to the various mathematical formulations for the motion of such particles as given by the Kaluza-Klein formulation of Kemer [4], and those of Sternberg [11 ], and Weinstein [ 12]. In doing this, we show that Sternberg's space is, in a natural way, a symplectic leaf of a reduced Poisson manifold and relations to a construction of Kummer's [5] for dynamics on the cotangent bundle of a principle bundle are clarified.

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