Spontaneous Symmetry Breaking for Scalar QED with Non-minimal Chern-Simons Coupling

摘要

We investigate the two-loop effective potential for both minimally andnon-minimally coupled Maxwell-Chern-Simons theories. The non-minimal gaugeinteraction represents the magnetic moment interaction between a charged scalarand the electromagnetic field. In a previous paper we have shown that the twoloop effective potential for this model is renormalizable with an appropriatechoice of the non-minimal coupling constant. We carry out a detailed analysisof the spontaneous symmetry breaking induced by radiative corrections. As longas the renormalization point for all couplings is chosen to be the true minimumof the effective potential, both models predict the presence of spontaneoussymmetry breaking. Two loop corrections are small compared to the one loopresult, and thus the symmetry breaking is perturbatively stable.