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 pure energy jeans is shown 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 way to overcome this problem is the click here introduction of anticommuting Grassmann co-ordinates.A systematic derivation of constants of motion based on symmetries of the background fields is presented.