Compact lattice formulation of Cho–Faddeev–Niemi decomposition: Gluon mass generation and infrared Abelian dominance
Compact lattice formulation of Cho–Faddeev–Niemi decomposition: Gluon mass generation and infrared Abelian dominance
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DOI：
10.1016/j.physletb.2007.07.042
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发表时间：
2007-06
影响因子：
4.4
通讯作者：
A. Shibata;S. Kato;K. Kondo;T. Murakami;T. Shinohara;S. Ito
中科院分区：
文献类型：
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作者：
A. Shibata;S. Kato;K. Kondo;T. Murakami;T. Shinohara;S. Ito
这封信补充了 SU(2) Yang-Mills 理论的新格公式，该公式以前一篇论文中提出的紧凑形式的新变量编写。公式中使用的新变量曾被称为 Cho-Faddeev-Niemi 或 Cho-Faddeev-Niemi-Shabanov 分解。除了上一篇论文中显示的磁单极子优势之外，我们的公式使我们能够以规范不变的方式解释红外“阿贝尔”优势，而不依赖于传统研究中使用的称为最大阿贝尔规范的特定规范固定。特别是在这封信中，我们通过数值模拟证明了“阿贝尔”部分以外的胶子自由度在低能区域获得了解耦质量，从而导致红外阿贝尔优势。
This Letter complements a new lattice formulation of SU(2) Yang–Mills theory written in terms of new variables in a compact form proposed in the previous paper. The new variables used in the formulation were once called the Cho–Faddeev–Niemi or Cho–Faddeev–Niemi–Shabanov decomposition. Our formulation enables us to explain the infrared “Abelian” dominance, in addition to magnetic monopole dominance shown in the previous paper, in the gauge invariant way without relying on the specific gauge fixing called the maximal Abelian gauge used in the conventional investigations. In this Letter, especially, we demonstrate by numerical simulations that gluon degrees of freedom other than the “Abelian” part acquire the mass to be decoupled in the low-energy region leading to the infrared Abelian dominance.