English

A Simple Action for a Free Anyon

High Energy Physics - Theory 2009-10-30 v1

Abstract

By studying classical realizations of the sl(2,R) algebra in a two dimensional phase space (q,π)(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 (SμSμ=0)(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.

Cite

@article{arxiv.hep-th/9704128,
  title  = {A Simple Action for a Free Anyon},
  author = {D. Dalmazi and A. de Souza Dutra},
  journal= {arXiv preprint arXiv:hep-th/9704128},
  year   = {2009}
}

Comments

15 pages, Plain Latex

R2 v1 2026-07-22T16:04:39.843Z