RENORMALIZATION AMBIGUITIES IN CHERN-SIMONS THEORY

We introduce a new family of gauge-invariant regularizations of Chern-Simons theories which generate one-loop renormalizations of the coupling constant of the form k --> k + 2sc(v) where s can take any arbitrary integer value. In the particular case s = 0 we get an explicit example of a gauge-invariant regularization which does not generate radiative corrections to the bare coupling constant. This ambiguity in the radiative corrections to k is reminiscent of the Coste-Luscher results for the parity anomaly in 2 + 1 fermionic effective actions.