Jf. Yang et Gj. Ni, FINITENESS OF CHERN-SIMONS THEORY AND FERMION DECOUPLING IN 2-DIMENSIONAL SU(N) GAUGE FIELD-THEORY(1), Physics letters. Section B, 343(1-4), 1995, pp. 249-253
We discuss the decoupling of heavy fermions in SU(N) gauge field theor
y (GFT) in 2 + 1-dimensional spacetime. The pure Chem-Simons (CS) theo
ry may be seen as the resulting theory when the charge of the gauge fi
eld also goes to infinity. Then the finiteness of the CS theory or the
vanishing of the beta function of the CS coefficient kappa(CS) With O
r Without matter, is proved in this approach.