The Instanton-Dyon Liquid Model III: Finite Chemical Potential

TL;DR

This paper extends the instanton-dyon liquid model to include light quarks at finite chemical potential, analyzing phase structures in SU_c(N_c) theories using a 3D effective approach.

Contribution

It introduces a detailed extension of the instanton-dyon liquid model to finite chemical potential for SU_c(N_c) with light quarks, including phase analysis.

Findings

Chiral and diquark pairings are always comparable.

Model developed for SU_c(2) and extended to SU_c(N_c).

Phase analysis performed in mean-field approximation.

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 SU_c(2)\times SU_f(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 SU_c(N_c)\times SU_f(N_f) and note that the chiral and diquark pairings are always comparable.