四点局部胶子S-矩阵的分类
Classification of four-point local gluon S-matrices
摘要：
本文对任意维四点定域胶子S-矩阵进行了分类。这与\cite{Chowdhury:2019kaq}的四点局域光子S矩阵和引力子S矩阵的分类是相同的。我们明确的分类规范群$SO(N)$和$SU(N)$的所有$N$，但我们的方法很容易推广到其他李群。构造过程是将光子的不一定置换对称的四点S-矩阵和伴随标量的四点S-矩阵组合成置换对称的四点胶子S-矩阵。我们明确列出了两个组件的建设，即置换对称以及非对称四点S-矩阵，光子以及伴随标量的任意尺寸和规范群$SO(N)$和$SU(N)$的所有$N$。在本文中，我们显式地列出了本地拉格朗日产生的本地胶子S-矩阵的$D\geq 9$，并提出了相关的计数低维。低维胶子S-矩阵的局部拉格朗日量可以用同样的方法写出。我们还用基结构表示了具有胶子交换的Yang-Mills四胶子S-矩阵。
英文摘要：
In this paper, we classify four-point local gluon S-matrices in arbitrary dimensions. This is along the same lines as \cite{Chowdhury:2019kaq} where four-point local photon S-matrices and graviton S-matrices were classified. We do the classification explicitly for gauge groups $SO(N)$ and $SU(N)$ for all $N$ but our method is easily generalizable to other Lie groups. The construction involves combining not-necessarily-permutation-symmetric four-point S-matrices of photons and those of adjoint scalars into permutation symmetric four-point gluon S-matrix. We explicitly list both the components of the construction, i.e permutation symmetric as well as non-symmetric four point S-matrices, for both the photons as well as the adjoint scalars for arbitrary dimensions and for gauge groups $SO(N)$ and $SU(N)$ for all $N$. In this paper, we explicitly list the local Lagrangians that generate the local gluon S-matrices for $D\geq 9$ and present the relevant counting for lower dimensions. Local Lagrangians for gluon S-matrices in lower dimensions can be written down following the same method. We also express the Yang-Mills four gluon S-matrix with gluon exchange in terms of our basis structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
