Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement
Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement
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任意表示中威尔逊环算子的非阿贝尔斯托克斯定理及其对夸克禁闭的影响
DOI：
10.1103/physrevd.92.125038
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发表时间：
2015
影响因子：
5
通讯作者：
R. Matsudo and K.-I. Kondo
中科院分区：
文献类型：
--
作者：
竹尾英俊;稲吉恒平;大須賀健;高橋博之;嶺重慎;Katsushi Ito;Kiyotaka Tanikawa;小宮山 裕;R. Matsudo and K.-I. Kondo
我们通过威尔逊环算符给出了杨-米尔斯理论中与规范无关的磁单极子的定义。为此，我们在规范群的任意表示下，给出了非阿贝尔Stokes定理的Diakonov-Petrov形式的显式证明，从而得到了非阿贝尔Stokes定理的一种新形式。新的形式被用来以规范不变的方式提取磁单极子对威尔逊循环算符的贡献，这使得我们能够从对偶超导真空的观点讨论在任何表象下夸克的禁闭。
We give a gauge-independent definition of magnetic monopoles in theYang-Mills theory through the Wilson loop operator. For this purpose, we give an explicit proof of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation of thegauge group to derive a new form for the non-Abelian Stokes theorem. The new form is used to extract the magnetic-monopole contribution to the Wilson loop operator in a gauge-invariant way, which enables us to discuss confinement of quarks in any representation from the viewpoint of the dual superconductor vacuum.