Lattice QCD analysis for relation between quark confinement and chiral symmetry breaking
Lattice QCD analysis for relation between quark confinement and chiral symmetry breaking
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DOI：
10.1063/1.4938610
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
Takahiro M. Doi;H. Suganuma;T. Iritani
中科院分区：
文献类型：
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作者：
Takahiro M. Doi;H. Suganuma;T. Iritani
Polyakov环和狄拉克模式连接通过一个简单的分析关系的时间奇数晶格，其中的时间晶格大小是奇数的正常（非扭曲）的周期性边界条件。利用这个关系，我们研究了QCD中夸克禁闭与手征对称性破缺的关系。在本文中，我们讨论了这个解析关系的属性，并数值研究每个Dirac-mode的贡献的Polyakov回路在限制和解除限制阶段在淬火水平。这一关系表明，低阶狄拉克模式对波利雅科夫环的贡献很小，我们数值证实了这一事实。我们的分析表明，在QCD中夸克禁闭与手征对称性破缺之间不存在直接的一一对应关系。同时，在约束相，我们数值计算发现，出现在约束相关系中的链变量算符的Dirac模矩阵元存在一种新的“正/负对称性”。
The Polyakov loop and the Dirac modes are connected via a simple analytical relation on the temporally odd-number lattice, where the temporal lattice size is odd with the normal (nontwisted) periodic boundary condition. Using this relation, we investigate the relation between quark confinement and chiral symmetry breaking in QCD. In this paper, we discuss the properties of this analytical relation and numerically investigate each Dirac-mode contribution to the Polyakov loop in both confinement and deconfinement phases at the quenched level. This relation indicates that low-lying Dirac modes have little contribution to the Polyakov loop, and we numerically confirmed this fact. From our analysis, it is suggested that there is no direct one-to-one corresponding between quark confinement and chiral symmetry breaking in QCD. Also, in the confinement phase, we numerically find that there is a new “positive/negative symmetry” in the Dirac-mode matrix elements of link-variable operator which appear in the relatio...