Me. Carrington et G. Kunstatter, PHASE-TRANSITIONS IN MASSLESS SCALAR QED WITH NONMINIMALLY COUPLED CHERN-SIMONS TERM, Physics letters. Section B, 321(3), 1994, pp. 223-228
2 + 1 dimensional massless scalar QED with (phiphi)3 scalar self-coup
ling is modified by the addition of a non-minimal Chem-Simons term tha
t couples the dual of the electromagnetic field strength to the covari
ant current of the complex scalar field. At the one-loop level the eff
ective potential for the scalar field gives rise to spontaneous symmet
ry breaking which induces masses for both the scalar and vector fields
. The symmetry is restored at high temperature via a first order phase
transition.