Some Relations for Quark Confinement and Chiral Symmetry
Some Relations for Quark Confinement and Chiral Symmetry
复制标题
夸克禁闭与手性对称性的一些关系
DOI：
10.1051/epjconf/201713704003
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发表时间：
2017
影响因子：
--
通讯作者：
K. Redlich and C. Sasaki
中科院分区：
文献类型：
--
作者：
H. Suganuma;T. M. Doi;K. Redlich and C. Sasaki
本文分析研究了QCD中夸克禁闭与手征对称性自发破缺的关系。根据狄拉克本征模，我们导出了由威尔逊环导出的波里雅科夫环、波里雅科夫环的涨落以及弦张力的一些公式。我们还分别用Wilson、三叶草和畴壁费米子核的本征模研究了Polyakov环。对于禁闭量，低的狄拉克/费米子本征模的贡献可以忽略不计，而它们是必不可少的手征对称性破缺。这些关系表明在QCD中禁闭和手征对称性破缺之间没有直接的一一对应，这似乎是自然的，因为禁闭是独立于夸克质量实现的。
We analytically study the relation between quark confinement and spontaneous chiral-symmetry breaking in QCD. In terms of the Dirac eigenmodes, we derive some formulae for the Polyakov loop, its fluctuations, and the string tension from the Wilson loop. We also investigate the Polyakov loop in terms of the eigenmodes of theWilson, the clover and the domain wall fermion kernels, respectively. For the confinement quantities, the low-lying Dirac/fermion eigenmodes are found to give negligible contribution, while they are essential for chiral symmetry breaking. These relations indicate no direct one-to-one correspondence between confinement and chiral symmetry breaking in QCD, which seems to be natural because confinement is realized independently of the quark mass.