LOW-ENERGY LIMIT OF THE CHERN-SIMONS THEORY COUPLED TO FERMIONS

We study the nonrelativistic limit of the theory of a quantum Chem-Sim ons field minimally coupled to Dirac fermions. To get the nonrelativis tic effective Lagrangian one has to incorporate vacuum polarization an d anomalous magnetic moment effects. In addition to that, an unsuspect ed quartic fermionic interaction may also be induced. As a by-product, the method we use to calculate loop diagrams, separating low and high loop momenta contributions, allows us to identify how a quantum nonre lativistic theory nests in a relativistic one.