We investigate the nuclear and quark matters 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 colors, we can discuss the confinement-deconfinement nature at finite ${\mu }_{\mathrm{R}}$ from the canonical sectors. We find the expectation that the sharp changes of canonical sectors at ${\mu }_{\mathrm{R}}\sim M_{\mathrm{B}}/N_{\mathrm{c}}$, where $M_{\mathrm{B}}$ is the lowest baryon mass, happens in the large $N_{\mathrm{c}}$ regime, and it is matched with the quarkyonic picture. In addition, we discuss the color superconductivity and the chiral properties from the structure of canonical sectors. Even in the present anatomy from the canonical sectors, we obtain a suitable picture for the dense QCD matter.

• Received 25 March 2021
• Accepted 19 May 2021

DOI:https://doi.org/10.1103/PhysRevD.103.114020

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society