CHARGED SOLITONS AND THEIR EXOTIC ANGULAR-MOMENTUM

We study the model of an Abelian vector field with Chern-Simons terms coupled to fermions in (2+1) dimensions and quantize it canonically us ing the Dirac-Bergmann algorithm. An equivalent theory of constructed vortex field is established in the Hamiltonian formalism in which the long-range interaction has been removed and short-range interaction is taken up the former position. These vortex fields obey the fractional statistics in general, make the long-range effect in its structure, a nd satisfy a set of Bogomol'nyi-type equations. We further show the ex otic statistics for these configurations and establish an angular-mome ntum-anomaly connection.