2017/09/18 by Markus Q. Huber
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Gluon #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Vertex (graph theory) #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-017-5310-y
11 pages, 10 figures
arxiv created 2017/09/18 · openalex publication_date 2017/11/01 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 2% 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.