Some Aspects of Persistent Homology Analysis on Phase Transition: Examples in an Effective QCD Model with Heavy Quarks

Recently, persistent homology analysis has been used to investigate phase structure. In this study, we apply the QCD effective model with heavy quarks at finite imaginary chemical potential; i.e., Potts suitably tuned external field. Since try obtain a deeper understanding of relationship between and transition in QCD, consider potential because clear transition, which is closely related confinement-deconfinement exists. actual analysis, employ point-cloud approach homology. addition, fluctuation diagrams additional information on spatial topology transition.