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Multiplicity, probabilities, and canonical sectors for cold QCD matter

Kouji Kashiwa1,* and Hiroaki Kouno2,†

  • 1Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
  • 2Department of Physics, Saga University, Saga 840-8502, Japan

  • *kashiwa@fit.ac.jp
  • †kounoh@cc.saga-u.ac.jp
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Phys. Rev. D 105, 054017 – Published 17 March, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.054017

Abstract

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 Ansätze. 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.

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See Also

Anatomy of the dense QCD matter from canonical sectors

Kouji Kashiwa and Hiroaki Kouno
Phys. Rev. D 103, 114020 (2021)

Article Text

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Phys. Rev. D 105, 054017– Published 17 March, 2022
  • Received 20 September 2021
  • Accepted 31 January 2022
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