Me. Carrington et G. Kunstatter, MASSLESS SCALAR QED WITH NONMINIMAL CHERN-SIMONS COUPLING, Physical review. D. Particles and fields, 50(4), 1994, pp. 2830-2839
(2+1)-dimensional massless scalar QED with (phiphi)3 scalar self-coup
ling is modified by the addition of a nonminimal Chern-Simons term tha
t couples the dual of the electromagnetic field strength to the covari
ant current of the complex scalar field. The theory is shown to be ful
ly one-loop renormalizable. The one-loop effective potential for the s
calar field gives rise to spontaneous symmetry breaking which induces
masses for both the scalar and vector fields. At high temperature ther
e is a symmetry-restonng phase transition.