A Simple Action for a Free Anyon

Details A Simple Action for a Free Anyon A Simple Action for a Free Anyon

1997-04-16

arxiv.org/abs/hep-th/9704128v1

Phys.Lett. B414 (1997) 315-322

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Plain Latex

Scientific paper

10.1016/S0370-2693(97)01202-1

By studying classical realizations of the sl(2,R) algebra in a two dimensional phase space $(q,\pi)$, we have derived a continuous family of new actions for free anyons in 2+1 dimensions. For the case of light-like spin vector $(S_\mu S^\mu =0)$, the action is remarkably simple. We show the appearence of the Zitterbewegung in the solutions of the equations of motion, and relate the actions to others in the literature at classical level.

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