Renormalization group study of the (phi*phi)(3) model coupled to a Chern-Simons field - art. no. 065003

We consider the model of a massless charged scalar field, in 2 + 1 dimensio ns, with a self-interaction of the form lambda(phi* phi)(3) and interacting with a Chern-Simons field. We calculate the renormalization group beta fun ctions of the coupling constants and the anomalous dimensions gamma of the basic fields. We show that the interaction with the Chern-Simons field impl ies a beta(lambda) which suggests that a dynamical symmetry breakdown occur s. We also study the effect of the Chern-Simons field on the anomalous dime nsions of the composite operators (phi* phi)(n), obtaining the result that their operator dimensions are lowered.