Anatomy of the dense QCD matter from canonical sectors

TL;DR

This paper explores the structure of dense QCD matter at finite chemical potential using canonical sectors and large N_c estimation, revealing insights into confinement, deconfinement, and phases like quarkyonic matter.

Contribution

It introduces a novel analysis of dense QCD matter through canonical sectors at finite chemical potential, connecting large N_c estimates with phase transitions and quarkyonic matter.

Findings

Canonical sectors exhibit sharp changes at chemical potential ~ M_B/N_c.

Large N_c analysis supports the quarkyonic matter picture.

Insights into color superconductivity and chiral properties in dense QCD.

Abstract

We investigate the nuclear and the quark matter at finite real chemical potential ($\mu_\mathrm{R}$) and low temperature from the viewpoint of the canonical sectors constructed via the imaginary chemical potential region. Based on the large $N_\mathrm{c}$ estimation, where $N_\mathrm{c}$ is the number of color, we can discuss the confinement-deconfinement nature at finite $\mu_\mathrm{R}$ from the canonical sectors. We found the expectation that the sharp change of canonical sectors at $\mu_\mathrm{R} \sim M_\mathrm{B}/N_\mathrm{c}$, where $M_\mathrm{B}$ is the lowest baryon mass, is happen in the large $N_\mathrm{c}$ regime, and it is matched with the quarkyonic picture. In addition, we discussed the color superconductivity and the chiral properties from the structure of canonical sectors. Even in the present anatomy from the canonical sectors, we can have the suitable picture for the dense QCD matter.