Deformed Wong Particles

Details Deformed Wong Particles Deformed Wong Particles

1993-04-27

arxiv.org/abs/hep-th/9304137v1

Phys.Rev. D48 (1993) 4974-4979

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LATEX

Scientific paper

10.1103/PhysRevD.48.4974

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. It is argued that when a particle with internal $SU_q(2)$ 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 $SU_q(2)$ particle acts as a source for the field theory, the second rank antisymmetric field tensor, in general, cannot be globally defined.

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