Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
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SU(3)晶格QCD中最大阿贝尔规范的非对角胶子质量生成和红外阿贝尔优势
DOI：
10.1103/physrevd.86.094018
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发表时间：
2012
影响因子：
5
通讯作者：
Hideo Suganuma
中科院分区：
文献类型：
--
作者：
Shinya Gongyo;Takumi Iritani;Hideo Suganuma
在 SU(3) 晶格 QCD 形式中，我们提出了一种从链接变量中分析提取规范场的方法。通过这种方法，我们首次研究了 SU(3) 情况下非对角胶子的有效质量生成和最大阿贝尔规范中的红外阿贝尔优势。利用SU(3)晶格QCD，我们研究了朗道规范固定的最大阿贝尔规范中的传播子和胶子场的有效质量。蒙特卡洛模拟在淬火级别的 5.8 和 6.0 上进行。非对角胶子表现为质量矢量玻色子，其有效质量近似在 的区域内，传播被限制在小范围内，而对角胶子的传播即使在大范围内也能保持。这样，红外阿贝尔优势就显示在非对角胶子的短程传播方面。此外，我们研究了非对角胶子传播器的功能形式。函数形式可以用四维欧几里德汤川型函数withfor很好地描述。这也表明非对角胶子的谱函数存在负值区域。
In SU(3) lattice QCD formalism, we propose a method to extract gauge fields from link variables analytically. With this method, we perform the first study on effective mass generation of off-diagonal gluons and infrared Abelian dominance in the maximally Abelian gauge in the SU(3) case. Using SU(3) lattice QCD, we investigate the propagator and the effective mass of the gluon fields in the maximally Abelian gauge withLandau gauge fixing. The Monte Carlo simulation is performed onat, 5.8, and 6.0 at the quenched level. The off-diagonal gluons behave as massive vector bosons with the approximate effective massin the region of, and the propagation is limited within a short range, while the propagation of diagonal gluons remains even in a large range. In this way, infrared Abelian dominance is shown in terms of short-range propagation of off-diagonal gluons. Furthermore, we investigate the functional form of the off-diagonal gluon propagator. The functional form is well described by the four-dimensional Euclidean Yukawa-type functionwithfor. This also indicates that the spectral function of off-diagonal gluons has the negative-value region.