The Yang-Mills field strength incorporating a non-Abelian feature is one of the cornerstones of the standard model. Although Yang-Mills gauge theories have been around for over fifty years, surprisingly the derivation of the Yang-Mills field strength using classical gauge theory does not appear anywhere in the literature. In their 1954 paper, Yang and Mills had to invent a non-Abelian field strength to satisfy certain criteria. In Section 5 we use Yang's gauge transformation in a heuristic derivation of the Yang-Mills field strength. The preceding sections cover material relating to the derivation. Section 3 shows where Pauli in the article cited by Yang and Mills gives an expression for the electro-magnetic field strength in terms of a commutator. For some reason, Yang and Mills did not use this approach.
Yang-Baxter operators and scattering amplitudes in $\mathcal{N} = 4$ super-Yang-Mills theory
利用单值矩阵算子的本征值关系,给出了$\mathcal{N}=4$ super Yang-Mills理论中振幅的Yangian对称性.量子逆散射方法提供了适当的工具来处理扩展的对称性,并恢复其后果,许多已知的功能,如循环和反演对称性,BCFW递归,逆软极限建设,格拉斯曼积分表示,$\mathrm{R}$ -不变量和壳图的方法。