A Simple Action for a Free Anyon
D. Dalmazi, A. de Souza Dutra
Abstract
By studying classical realizations of the sl(2,R) algebra in a two dimensional phase space (q,π), we have derived a continuous family of new actions for free anyons in 2+1 dimensions. For the case of light-like spin vector (SμSμ=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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