Particle Motion in a Yang-Mills Field: Wong's Equations and Spin One-half Analogues

N Linden A J Macfarlane; J W van Holten

doi:10.1007/bf01688813

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arXiv · hep-th/9512071

Particle Motion in a Yang-Mills Field: Wong's Equations and Spin One-half Analogues

N Linden A J Macfarlane·J W van Holten

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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-$\frack$ particles, within a complete Lagrangian formalism.

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N Linden A J Macfarlane, J W van Holten. 1995-12-11. Particle Motion in a Yang-Mills Field: Wong's Equations and Spin One-half Analogues. https://doi.org/10.1007/bf01688813

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