The Instanton-Dyon Liquid Model III: Finite Chemical Potential

Abstract

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 3-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.

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