Global Color Is Not Always Defined
Global Color Is Not Always Defined
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DOI：
10.1103/physrevlett.50.943
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发表时间：
1983-03
影响因子：
8.6
通讯作者：
P. Nelson;A. Manohar
中科院分区：
文献类型：
--
作者：
P. Nelson;A. Manohar
远离 SU(5) 大统一理论的基本磁单极子，整个理论简化为其规范组是完整的 SU(3) \ensuremath{\bigotimes} U(1)。然而，在这个完整的理论中，平滑规范变换生成元的代数通常不会包含任何与 su(3) 同构的子代数。这意味着全局颜色旋转并不总是被定义。由此导致无法通过颜色对半经典动力子态进行分类，从而导致与真空角 $\ensuremath{\theta}$ 相关的明显悖论达到顶峰。
Far away from a fundamental magnetic monopole of the SU(5) grand unified theory, the full theory reduces to one whose gauge group is unbroken SU(3) \ensuremath{\bigotimes} U(1). The algebra of generators of smooth gauge transformations in this unbroken theory, however, will not in general contain any subalgebra isomorphic to su(3). This means that global color rotations are not always defined. The resulting inability to classify semiclassical dyon states by their color climinates an apparent paradox related to the vacuum angle $\ensuremath{\theta}$.