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 $S{U}_c(2)\times S{U}_f(2)$ 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 $S{U}_c(N_c)\times S{U}_f(N_f)$ and note that the chiral and diquark pairings are always comparable.

• Received 24 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.105011