Particle with torsion on 3d null-curves

Abstract

We consider a (2+1)-dimensional mechanical system with the Lagrangian linear in the torsion of a light-like curve. We give Hamiltonian formulation of this system and show that its mass and spin spectra are defined by one-dimensional nonrelativistic mechanics with a cubic potential. Consequently, this system possesses the properties typical of resonance-like particles.

4 pages, Talk given by A.N. at 3rd Meeting on Constrained Systems and Quantum Gravity (September 13-17, 1999, Villasimius, Italy)

References in corpus (1)

• A geometrical particle model for anyons

Cited by in corpus (10)

• Geometrical particle models on 3D null curves
• Hamiltonian flows on null curves
• Models of relativistic particle with curvature and torsion revisited
• Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
• Reduction for constrained variational problems on 3D null curves
• Conformal geometry of timelike curves in the (1+2)-Einstein universe
• World sheets of spinning particles
• On the world sheet of continuous helicity particle
• Auxiliary fields in the geometrical relativistic particle dynamics
• Critical Robertson-Walker universes