A geometrical particle model for anyons

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., $mass\times spin={\alpha }^2$, with $\alpha$ the coupling constant in front of the action.

2 pages, revtex macros

References in corpus (1)

• Massive spinning particles and the geometry of null curves

Cited by in corpus (10)

• Geometrical particle models on 3D null curves
• Particle with torsion on 3d null-curves
• Rigid particle revisited: extrinsic curvature yields the Dirac equation
• Covariant approach of perturbations in Lovelock type brane gravity
• World sheets of spinning particles
• Null Frenet-Serret Dynamics
• Massive $4d$ particle with torsion and conformal mechanics
• Higher-derivative N=4 superparticle in three-dimensional spacetime
• On the world sheet of continuous helicity particle
• Auxiliary fields in the geometrical relativistic particle dynamics