Quark number holonomy and confinement-deconfinement transition

Abstract

We propose a new quantity which describes the confinement-deconfinement transition based on topological properties of QCD. The quantity which we call the quark number holonomy is defined as the integral of the quark number susceptibility along the closed loop of $\theta$ where $\theta$ is the dimensionless imaginary chemical potential. Expected behavior of the quark number holonomy at finite temperature is discussed and its asymptotic behaviors are shown.

6 pages, 2 figures

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• Fourier coefficients of the net-baryon number density and chiral criticality
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Extension to Imaginary Chemical Potential in a Holographic Model
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Phase structure of compactified $SU(N)$ gauge theories in magnetic backgrounds
• Anatomy of the dense QCD matter from canonical sectors
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Information theoretical view of QCD effective model with heavy quarks
• Persistent homology analysis of deconfinement transition in effective Polyakov-line model
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Dual meson condensates in the Polyakov-loop extended linear sigma model