Canonical quantization of Chern–Simons on the light-front

By performing the canonical quantization of the Abelian Chern–Simons model on the light-front (as suggested by Dirac), we clarify some controversies appearing in recent papers that discuss the relation between the existence of excitations carrying fractional spin and statistics (anyons) and this model. Properties of the Chern–Simons model on the light-front are investigated in detail, following the Dirac method for constrained dynamical systems, both for a coupled complex scalar field as well as for a spinor field.