CANONICAL QUANTIZATION AND GAUGE INVARIANT ANYON OPERATORS IN CHERN-SIMONS SCALAR ELECTRODYNAMICS

Complex scalar fields minimally coupled to an abelian Chern-Simons gauge field are systematically quantized using Dirac′s method for constrained systems. Manifestly gauge invariant anyon operators are constructed following the line integral prescription of Schwinger. Stringent consistency conditions like the spin-statistics connection, Poincaré invariance, and tree level vector current Ward identity are scrutinised. The effect of the addition of the Maxwell term to the lagrangian density on all the above results is examined. The gauge invariant anyon operators constructed in this case are shown not to exhibit any spin or statistics transmutation as one moves from shorter length scales to longer ones, where the residual coulomb interaction is effectively screened. © 1993 Academic Press, Inc.