NONTOPOLOGICAL CHERN-SIMONS VORTICES IN A SCALE-INVARIANT TRICRITICAL ABELIAN HIGGS-MODEL

It is shown that the scale-invariant tricritical lambda1(2)(phi*phi)3-Abelian Higgs model with the Chern-Simons term has non-topological charged vortex solutions of finite energy, fractional angular momentum and anomalous scale dimension. For a specific choice of the coupling lambda-1, first-order Bogomolny-type equations are obtained and it is shown that unlike the second-order equations, these first-order equations do not admit charged vortex solutions of finite energy.