Particle Motion in a Yang-Mills Field: Wong's Equations and Spin One-half Analogues
N Linden A J Macfarlane, J W van Holten
Abstract
A complete, straightforward and natural Lagrangian description is given for the classical non-relativistic dynamics of a particle with colour or internal symmetry degrees of freedom moving in a background Yang-Mills field. This provides a new simple Lagrangian formalism for Wong's equations for spinless particles, and presents also their generalisation, in gauge covariant form, for spin- particles, within a complete Lagrangian formalism.
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