Multiplicity, probabilities, and canonical sectors for cold QCD matter

At sufficiently low temperature, without requiring any numerical data at finite real chemical potential, we can clarify the canonical partition function with a fixed quark number via the imaginary chemical potential region with few Ansatze. The canonical partition function relates to the multiplicity distribution which can be observed in collider experiments and thus we may access important information of the properties of the QCD matter based on the canonical method. In this paper, we estimate the multiplicity entropy, the configuration entropy, and the pointwise information which can be calculable with the canonical partition function to understand the properties of the cold QCD matter at finite density. With a large-Nc limit where Nc is the number of colors, we can simply estimate the tendency of them, and then the relation to the quarkyonic phase is clarified. In addition, we discuss the nontrivial ground-state degeneracy from the viewpoint of the canonical sectors.

Automated summary

In this paper, we investigate the canonical partition function with a fixed quark number using the imaginary chemical potential region. We estimate the multiplicity entropy, the configuration entropy, and the pointwise information to understand the properties of the cold QCD matter at finite density. By considering the large-Nc limit, we can gain insights into the tendencies and their relation to the quarkyonic phase. Additionally, we discuss the nontrivial ground-state degeneracy from the viewpoint of the canonical sectors.