Polyakov Loop Fluctuations in the Dirac Eigenmode Expansion
Polyakov Loop Fluctuations in the Dirac Eigenmode Expansion
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狄拉克本征模展开中的波利亚科夫环涨落
DOI：
10.1103/physrevd.92.094004
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发表时间：
2015
影响因子：
5
通讯作者：
C. Sasaki and H. Suganuma
中科院分区：
文献类型：
--
作者：
T. M. Doi;K. Redlich;C. Sasaki and H. Suganuma
我们研究了Polyakov环涨落与格子Dirac算符本征模的关系。在具有正常的非扭曲周期边界条件下，在时间奇数大小的格子上导出了它们的解析关系。我们发现低位狄拉克模对Polyakov环涨落的贡献可以忽略不计。通过SU(3)猝灭的QCD的数值模拟，证实了这一性质在受限相和解禁闭相中是有效的。这些结果表明，由于Polyakov环涨落比的不同性质，QCD中的禁闭和手征对称性破缺之间不存在直接的一一对应关系。
We investigate correlations of the Polyakov loop fluctuations with eigenmodes of the lattice Dirac operator. Their analytic relations are derived on the temporally odd-number size lattice with the normal nontwisted periodic boundary condition for the link variables. We find that the low-lying Dirac modes yield negligible contributions to the Polyakov loop fluctuations. This property is confirmed to be valid in confined and deconfined phases by numerical simulations in SU(3) quenched QCD. These results indicate that there is no direct, one-to-one correspondence between confinement and chiral symmetry breaking in QCD in the context of different properties of the Polyakov loop fluctuation ratios.