THETA-EFFECTS IN CHERN-SIMONS (2+1)-DIMENSIONAL QED WITH A 4-FERMI INTERACTION

We investigate the effects of the Chern-Simons coupling on high-energy behavior in (2 + 1)-dimensional Chem-Simons QED with a four-Fermi interaction. Using the 1/N expansion we discuss the Chem-Simons effects on the critical four-Fermi coupling at O(1/N) and the beta function around it. The high-energy behavior of Green's functions is also discussed. By explicit calculation, we find that the radiative correction to the Chem-Simons coupling vanishes at O(1/N) in the broken phase of the dynamical parity symmetry. We argue that no radiative corrections to the Chern-Simons term arise at higher orders in the 1/N expansion.