TOPOLOGICAL EXCITATIONS IN A CONDENSATE OF NONRELATIVISTIC BOSONS COUPLED TO MAXWELL AND CHERN-SIMONS FIELDS

The Jackiw-Pi model of the self-gravitating gas of nonrelativistic bos ons coupled to the Chern-Simons gauge field is known to exhibit asympt otically vanishing, lumplike soliton solutions. We show that in order to extend this model to include the case of repulsive gases where the matter field approaches nonzero values at infinities, one has to add, for instance, the background electric charge. Reformulating the model arising in this way as a constrained Hamiltonian system allows one to find the self-duality limit in the pure Chern-Simons and in the mixed Chern-Simons-Maxwell cases. We prove that the linear momentum of the t opologically nontrivial configurations can only be defined as a transl ationally noninvariant quantity and the algebra is spontaneously broke n: {P-z, P-y} = 2 pi rho(0)n.