We propose a simple model for a free relativistic particle of fractional spin in 2+ 1 dimensions. Using the Hamiltonian formulation with the set of constraints, we introduce the …
A new pseudoclassical model is proposed for the description of the relativistic massive Dirac particle. It is P-and T-noninvariant in the case of odd space-time dimensions. The …
A Foussats, C Repetto, OP Zandron… - International Journal of …, 1997 - Springer
The key equations of the symplectic Faddeev-Jackiw formalism are written in an alternative way so that the inverse of the symplectic matrix is easily found. The nonlinear sigma model …
The nonrelativistic quantum-field-theoretic Lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A nonminimal magnetic coupling to the …
We discuss a relativistic free particle with fractional spin in 2+ 1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra {Sμ, Sν}= ϵμνγSγ. It is …
A Foussats, C Repetto, OP Zandron, OS Zandron - Annals of Physics, 1998 - Elsevier
We study the supersymmetric extension of the symplectic Faddeev–Jackiw quantum formalism. The key equations are written in an alternative way, so that the inverse of the …
The minimal (reduced) and extended canonical formulations for (2+ 1)-dimensional fractional spin particles are considered. We investigate the relationship between them …
A Foussats, E Manavella, C Repetto… - International Journal of …, 1995 - Springer
The canonical and path-integral quantization of the non-Abelian higher-derivative Chem- Simons model in three dimensions coupled to a matter field is constructed. The expression …
AU (1) gauge theory of a particle with arbitrary spin in three space-time dimensions is introduced. All the spin-dependent effects are a consequence of a direct coupling of the …