Classical dynamics of particles with non-abelian gauge charges

Classical dynamics of particles with non-abelian gauge charges

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The classical dynamics of particles with (non-)abelian charges and spin moving on curved manifolds is established in the Poisson-Hamilton framework.Equations of motion are derived for the minimal quadratic Hamiltonian and some extensions involving spin-dependent interactions.It is shown tv 12" that these equations of motion coincide with the consistency conditions for current- and energy-momentum conservation.

The classical equations cannot be derived from an action principle without extending the model.One Outdoor Arm Chair (Set of 2) way to overcome this problem is the introduction of anticommuting Grassmann co-ordinates.A systematic derivation of constants of motion based on symmetries of the background fields is presented.