Effects in Chern-Simons (2+1)-dimensional QED with a four-Fermi interaction

We investigate the effects of the Chern-Simons coupling on high-energy behavior in (2+1)-dimensional Chern-Simons QED with a four-Fermi interaction. Using the 1N expansion we discuss the Chern-Simons effects on the critical four-Fermi coupling at O(1N) and the 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 Chern-Simons coupling vanishes at O(1N) 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 1N expansion.