标题： 具有重夸克的密集QCD有效模型的持久同调分析 显示英文标题

标题： Persistent homology analysis for dense QCD effective model with heavy quarks

摘要： 该同位旋化学势区域被称为量子色动力学（QCD）无符号问题的区域。 本文中，我们将同位旋化学势引入三维三态Potts模型以模拟密集QCD；例如，有限密度下的重夸克有效QCD模型。 我们称其为类QCD Potts模型。 类QCD Potts模型不存在符号问题，但我们预期它与QCD共享某些性质。 由于在有限同位旋化学势下我们可以获得非近似的Potts自旋构型，并且简单的Metropolis算法可以运行，因此我们进行了持续同调分析，以探索QCD的密集空间结构。 我们表明，平均出生-死亡比率具有与Polyakov环相同的信 息，但在相变附近最大出生-死亡比率具有额外信息。 显示英文摘要

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