Monopoles and gluon fields in QCD in the maximally abelian gauge
Monopoles and gluon fields in QCD in the maximally abelian gauge
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最大阿贝尔规范中 QCD 中的单极子和胶子场
DOI：
10.1016/s0550-3213(99)00758-0
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
H. Suganuma
中科院分区：
文献类型：
--
作者：
H. Ichie;H. Suganuma
本文在约束的对偶超导体图像的背景下，研究了最大阿贝尔规范下QCD中的磁单极和胶子场。在阿贝尔规范中，单位电荷磁单极子出现，而多电荷磁单极子在一般情况下不出现。研究了SU（Nc）奇异规范变换对超光速的影响。非对角胶子的相关作用被发现在QCD中的阿贝尔规范中的单极子的出现。本文利用格点QCD研究了MA规范中作用量密度对胶子场性质的影响。在阿贝尔扇区中，电磁场的涨落是无限大的。在MA规范中，非对角胶子被强烈抑制，但大部分仍保留在π附近，这表明了单极子的有效尺寸和结构。我们发现在MA规范中，作用量密度的阿贝尔部分和非对角部分之间存在大的抵消。由于这一取消，量子色动力学中的电子可以出现，而不会对量子色动力学的作用产生很大的影响。最后，通过引入由SU（Nc）协变导数D <$μ定义的“胶子Higgs场”φD[Aμ（x）]，我们推广了阿贝尔投影的框架，即从QCD中提取阿贝尔规范流形。通过φD[Aμ（x）]，最大阿贝尔投影可以以规范协变的方式进行，原则上没有规范固定的概念。
We study monopoles and gluon fields in QCD in the maximally abelian (MA) gauge in the context of the dual superconductor picture for confinement. In the abelian gauge, unit charge magnetic monopoles appear, but multi-charge monopoles do not in general cases. The appearance of the monopole is studied in relation to the SU(Nc) singular gauge transformation. The relevant role of off-diagonal gluons is found for the appearance of monopoles in the abelian gauge in QCD. We study the gluon-field properties around the monopole in the MA gauge in terms of the action density using lattice QCD. The monopole provides infinitely large field fluctuations in the abelian sector. In the MA gauge, off-diagonal gluons are strongly suppressed but largely remain around the monopole, which indicates the effective size and the structure of monopoles. We find large cancellation between the abelian part and the off-diagonal part of the action density around the monopole in the MA gauge. Owing to this cancellation, the monopole can appear in QCD without large cost to the QCD action. Finally, we generalize the framework of the abelian projection, i.e. the extraction of the abelian gauge manifold from QCD, by introducing the `gluonic Higgs field' φD[Aμ(x)] defined from the SU(Nc) covariant derivative D ̂μ. By way of φD[Aμ(x)] , the maximally abelian projection can be performed in a gauge-covariant manner without the notion of gauge fixing in principle.