DRIVING OPERATORS RELEVANT - A FEATURE OF THE CHERN-SIMONS INTERACTION

By computing anomalous dimensions of gauge invariant composite operators (psipsiBAR)n and (phi*phi)n in matter-Chern-Simons models, we address the fact that the Chern-Simons interactions make these operators more relevant, or less irrelevant, in the low energy region. We suggest a critical Chern-Simons fermion coupling, 1/kappa(c)2 = 6/19, for a phase transition at which the leading irrelevant operator (psipsiBAR)2 becomes marginal, and a critical Chern-Simons boson coupling, I/kappa(c)2 = 6/34, for a similar phase transition for the leading irrelevant operator (phi*phi)4. We see the phenomenon also in the 1/N expansion.