Anatomy of the dense QCD matter from canonical sectors

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.

9 pages, 1 figure

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• Color superconductivity in dense quark matter
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• What can we learn from NJL-type models about dense matter?

Cited by in corpus (2)

• Persistent homology analysis for dense QCD effective model with heavy quarks
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter