Topological feature and phase structure of QCD at complex chemical potential

Abstract

The pseudo-critical temperature of the confinement-deconfinement transition and the phase transition surface are investigated by using the complex chemical potential. We can interpret the imaginary chemical potential as the Aharonov-Bohm phase, then the analogy of the topological order suggests that the Roberge-Weiss endpoint would define the pseudo-critical temperature. The behavior of the Roberge-Weiss endpoint at small real quark chemical potential is investigated with the perturbative expansion. The expected QCD phase diagram at complex chemical potential is presented.

6 pages, 2 figures

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• Topological deconfinement transition in QCD at finite isospin density
• Path optimization for $U(1)$ gauge theory with complexified parameters
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Thermodynamics of QCD from Sakai-Sugimoto Model
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Anatomy of the dense QCD matter from canonical sectors
• Information theoretical view of QCD effective model with heavy quarks
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Persistent homology analysis of deconfinement transition in effective Polyakov-line model
• Dirac-mode analysis for quark number density and its application for deconfinement transition
• 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