Simulations in finite density, beta = 0 lattice QCD by means of the Monomer
-Dimer-Polymer algorithm show a signal of first-order transition at finite
temporal size. This behaviour agrees with predictions of the mean field app
roximation, but is difficult to reconcile with infinite mass analytical sol
ution. The MDP simulations are considered in detail and severe convergence
problems are found Tor the SU(3) gauge group, in a wide region of chemical
potential. Simulations of SU(2) model show discrepancies with MDP results a
s well. (C) 2000 Elsevier Science B.V. All rights reserved.