A simple action for a free fractional spin particle

1997/04/16 by D. Dalmazi, A. de Souza Dutra · 1 citation
Computer Science · Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)01202-1

published as Phys.Lett. B414 (1997) 315-322 · 15 pages, Plain Latex

arxiv created 1997/04/16 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 (S_μS^μ=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.

Citations

• Quantum Mechanics of Fractional-Spin Particles
• Particle spin dynamics as the grassmann variant of classical mechanics
• Self-dual fields as charge-density solitons

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• Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling