On gauge fixing aspects of the infrared behavior of Yang-Mills Green functions

Understand

The infrared behavior of propagators and vertices is derived for the maximally Abelian gauge and the Gribov-Zwanziger action relying on functional equations.

• The derivation and analysis of Dyson-Schwinger equations increase considerably in complexity when going beyond the standard Landau gauge fixing and the available tools have to be improved.
• For the derivation of the equations a computer program (DoDSE) was developed in order to handle the plethora of terms.
• The process of determining possible infrared solutions is abstracted to obtain further insight into the structure of the so-called infrared scaling solutions.