Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole
Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole
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DOI：
10.1016/j.physletb.2005.10.089
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发表时间：
2005-09
影响因子：
4.4
通讯作者：
S. Kato;K. Kondo;T. Murakami;A. Shibata;T. Shinohara;S. Ito
中科院分区：
文献类型：
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作者：
S. Kato;K. Kondo;T. Murakami;A. Shibata;T. Shinohara;S. Ito
我们首次在格子上实现 SU(2) Yang-Mills 场的 Cho-Faddeev-Niemi 分解。正如数值模拟明确证明的那样，即使在新型最大阿贝尔规范之后，我们的构造也保留了颜色对称性（全局 SU(2) 规范不变性）。此外，我们使用该公式提出了磁单极子电流的规范不变定义，并将新定义与 DeGrand 和 Toussaint 的传统定义进行比较，以证明其有效性。
We present the first implementation of the Cho–Faddeev–Niemi decomposition of the SU(2) Yang–Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of maximally Abelian gauge, as explicitly demonstrated by numerical simulations. Moreover, we propose a gauge-invariant definition of the magnetic monopole current using this formulation and compare the new definition with the conventional one by DeGrand and Toussaint to exhibit its validity.