  SU(N_c) Yang-Mills theory is investigated at finite densities of N_f heavy
quark flavors. The calculation of the (continuum) quark determinant in the
large-mass limit is performed by analytic methods and results in an effective
gluonic action. This action is then subject to a lattice representation of the
gluon fields and computer simulations. The approach maintains the same number
of quark degrees of freedom as in the continuum formulation and a physical
heavy quark limit (to be contrasted with the quenched approximation N_f -> 0).
The proper scaling towards the continuum limit is manifest. We study the
partition function for given values of the chemical potential as well as the
partition function which is projected onto a definite baryon number. First
numerical results for an SU(2) gauge theory are presented. We briefly discuss
the breaking of the color-electric string at finite densities and shed light
onto the origin of the overlap problem inherent in the Glasgow approach.
