Study of Lattice $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ QCD at Finite Baryon Density

We analyze the strong-coupling limit of lattice $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ QCD at finite chemical potential. Using a dimer approach and mean-field techniques we predict the existence of a chiral-symmetry-restoring first-order phase transition for $N>~3$. We conclude that recent nonstandard results discussed in the literature may be due to numerical problems.