Ds. Irvine et al., Spontaneous symmetry breaking for scalar QED with nonminimal Chern-Simons coupling - art. no. 045015, PHYS REV D, 6404(4), 2001, pp. 5015
We investigate the two-loop effective potential for both minimally and non-
minimally coupled Maxwell-Chern-Simons theories. The nonminimal gauge inter
action represents the magnetic moment interaction between a charged scalar
and the electromagnetic field. In a previous paper we have shown that the t
wo loop effective potential for this model is renormalizable with an approp
riate choice of the non-minimal coupling constant. We carry out a detailed
analysis of the spontaneous symmetry breaking induced by radiative correcti
ons. As long as the renormalization point for all couplings is chosen to be
the true minimum of the effective potential, both models predict the prese
nce of spontaneous symmetry breaking. Two loop corrections are small compar
ed to the one loop result, and thus the symmetry breaking is perturbatively
stable.