Instanton-dyon liquid model. III. Finite chemical potential

We discuss an extension of the instanton-dyon liquid model that includes light quarks at finite chemical potential in the center symmetric phase. We develop the model in details for the case of SUc(2)×SUf(2) by mapping the theory on a three-dimensional quantum effective theory. We analyze the different phases in the mean-field approximation. We extend this analysis to the general case of SUc(Nc)×SUf(Nf) and note that the chiral and diquark pairings are always comparable.