Huber Markus Q
Institute of Physics, University of Graz, NAWI Graz, Universitätsplatz 5, 8010 Graz, Austria.
Eur Phys J C Part Fields. 2017;77(11):733. doi: 10.1140/epjc/s10052-017-5310-y. Epub 2017 Nov 2.
Two correlation functions of Yang-Mills beyond the primitively divergent ones, the two-ghost-two-gluon and the four-ghost vertices, are calculated and their influence on lower vertices is examined. Their full (transverse) tensor structure is taken into account. As input, a solution of the full two-point equations - including two-loop terms - is used that respects the resummed perturbative ultraviolet behavior. A clear hierarchy is found with regard to the color structure that reduces the number of relevant dressing functions. The impact of the two-ghost-two-gluon vertex on the three-gluon vertex is negligible, which is explained by the fact that all non-small dressing functions drop out due to their color factors. Only in the ghost-gluon vertex a small net effect below is seen. The four-ghost vertex is found to be extremely small in general. Since these two four-point functions do not enter into the propagator equations, these findings establish their small overall effect on lower correlation functions.
计算了超出原始发散项的杨-米尔斯的两个关联函数，即双鬼双胶子顶点和四鬼顶点，并研究了它们对较低顶点的影响。考虑了它们完整的（横向）张量结构。作为输入，使用了完整两点方程的一个解——包括两圈项——该解尊重重整化的微扰紫外行为。在颜色结构方面发现了一个清晰的层次结构，这减少了相关 dressing 函数的数量。双鬼双胶子顶点对三胶子顶点的影响可以忽略不计，这可以通过所有非小的 dressing 函数由于其颜色因子而抵消这一事实来解释。仅在鬼胶子顶点中可以看到低于某个值的小净效应。一般发现四鬼顶点极小。由于这两个四点函数不进入传播子方程，这些发现确定了它们对较低关联函数的总体小影响。
