Free Relativistic Anyons with Canonical Spin Algebra

Abstract

We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra $\left\{S_{\mu },S_{\nu }\right\}={\epsilon }_{\mu \nu \gamma }{S}^{\gamma }$. It is shown that it is a general consequence of these features that the Poincarè invariance is broken down to the Lorentz one, so indicating that it is not possible to keep simultaneously the free nature of the anyon and the translational invariance.

Complete version with references

References in corpus (2)

• On the Electromagnetic Interactions of Anyons
• Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian Formulations

Cited by in corpus (5)

• On the Minimal Model of Anyons
• Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling
• N=1, D=3 Superanyons, osp(2|2) and the Deformed Heisenberg Algebra
• A Simple Action for a Free Anyon
• The Jacobi identity for Dirac-like brackets