Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge

Understand

The low momentum behavior of the Landau gauge Gribov-Zwanziger action is investigated using the respective Dyson-Schwinger equations.

• Because of the mixing of the gluon and the auxiliary fields four scenarios can be distinguished for the infrared behavior.
• Two of them lead to inconsistencies and can be discarded.
• Another one corresponds to the case where the auxiliary fields behave exactly like the Faddeev-Popov ghosts and the same scaling relation as in standard Landau gauge, $\ka_A+2\ka_c=0$, is valid.