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 which do not, in general, generate a finite algebra. We obtain consistency criteria for the fields which interact with such particles. It is argued that when a particle with internal SUq(2) degrees of freedom is coupled to SU(2) gauge fields, SU(2) gauge invariance is broken to U(1). We further claim that when such an SUq(2) particle acts as a source for the field theory, the second rank antisymmetric field tensor, in general, cannot be globally defined.