REMARKS ON THE SOLUTIONS OF THE MAXWELL-CHERN-SIMONS THEORIES - ART. NO. 067703

The large distance behavior of the Maxwell-Chern-Simons (MCS) equation s is analyzed, and it is found that the pure Chern-Simons limit (when the Maxwell term is dropped from the equations) does not describe the large distance limit of the MCS model. This necessitates the solution of the original problem. The MCS gauge theory coupled to a nonrelativi stic matter field (governed by the gauged nonlinear Schrodinger equati on) is studied. It turns out that there an no regular self-dual soluti ons as in the pure Chern-Simons case, but the model admits interesting , though singular self-dual solutions. The properties of these solutio ns and their large distance limits are analyzed. [S0556-2821(98)05816- 0].