VORTICES IN A GENERALIZED HIGGS-MODEL

We consider a generalized Abelian Higgs model that was recently investigated in the literature. We explicitly show that the self-dual equations solve the corresponding equations of motion. In addition, in the specific case that reproduces the self-dual equations one finds in the Chern-Simons system, we show that the vorticity n and n2 satisfy the same sum rules the Chem-Simons vortices do. We also consider other specific forms for the magnetic permeability, in particular, the case in which nonpolynomial interactions for the scalar fields are introduced.