A proposal is presented for simulating an improvement on quenched QCD with
dynamical fermions which interact with the gluon configuration only via the
topological index of the latter. The strengths and shortcomings of the met
hod are discussed and it is argued that the approximation-though crude-shar
es some qualitative aspects of full QCD which relate to the issue of chiral
symmetry breaking. [S0556-2821(99)01209-6].