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 quenched QCD with dynamical fermions which interact with the gluon configuration only via the topological index of the latter. It amounts to include only the topological part of the functional determinant into the measure, thereby absorbing a correction factor into the observable. I discuss the prospects of this concept from a study in the massive Nf -flavour Schwinger model, where the correction factor is indeed found to be of order O(1).