Deformed Wong particles

By generalizing the Feynman proof of the Lorentz force law, recently reported by Dyson, we derive equations of motion for particles possessing internal degrees of freedom I(a) which do not, in general, generate a finite algebra. We obtain consistency criteria for fields which interact with such particles. We use the results to argue that SU(2) gauge invariance is broken to U(1) when a particle with internal SU(q)(2) degrees of freedom is coupled to SU(2) gauge fields. We further claim that when such an SU(q)(2) particle acts as a source for the field theory, the second-rank antisymmetric field tensor, in general, cannot be globally defined.