Persistent Homology Analysis for Dense QCD Effective Model with Heavy Quarks

The isospin chemical potential region is known as the sign-problem free of quantum chromodynamics (QCD). In this paper, we introduce to three-dimensional three-state Potts model mimic dense QCD; e.g., QCD effective with heavy quarks at finite density. We call it QCD-like model. does not have sign problem, but can expect that shares some properties QCD. Since obtain non-approximated spin configuration where simple Metropolis algorithm work, perform persistent homology analysis towards exploring spatial structure show averaged birth-death ratio has same information Polyakov loop, maximum additional near phase transition.