On non-primitively divergent vertices of Yang-Mills theory

Understand

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.