期刊
SYMMETRY-BASEL
卷 14, 期 9, 页码 -出版社
MDPI
DOI: 10.3390/sym14091783
关键词
QCD-like Potts model; persistent homology; confinement-deconfinement transition
资金
- JSPS [18K03618, 19H01898, 20K03974]
This study introduces the isospin chemical potential to a three-dimensional three-state Potts model to mimic dense QCD. Through persistent homology analysis, the dense spatial structure of QCD is explored.
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 dense QCD; e.g., the QCD effective model with heavy quarks at finite density. We call it the QCD-like Potts model. The QCD-like Potts model does not have a sign problem, but we expect it to share 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 toward 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 where the birth-death ratio means the ratio of the creation time of a hole and its vanishing time based on the persistent homology.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据