A GEOMETRICAL PARTICLE MODEL FOR ANYONS

Author:

NERSESSIAN ARMEN12,RAMOS EDUARDO3

Affiliation:

1. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region 141980, Russia

2. Department of Theoretical Physics, Yerevan State University, A. Manoukian St., 3, Yerevan 375049, Armenia

3. Dept. de Física Teórica, C-XI, Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain

Abstract

We consider the simplest geometrical particle model associated with light-like curves in (2+1) dimensions. The action is proportional to the pseudo-arc length of the particle's path. We show that under quantization, it yields the (2+1)-dimensional anyonic field equation supplemented with a Majorana-like relation on mass and spin, i.e. mass × spin =α2, with α the coupling constant in front of the action.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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