Prospects of "topologically unquenched QCD" from a study of the analogous importance sampling method in the massive Schwinger model

I give a quick summary of my proposal for simulating an improvement on quen ched QCD with dynamical fermions which interact with the gluon configuratio n only via the topological index of the latter. It amounts to include only the topological part of the functional determinant into the measure, thereb y absorbing a correction factor into the observable. I discuss the prospect s of this concept from a study in the massive N-f-flavour Schwinger model, where the correction factor is indeed found to be of order O(1).