Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian

Understand

The three dimensional Gribov-Zwanziger Lagrangian is analysed at one and two loops.

• Specifically, the two loop gap equation is evaluated and the Gribov mass is expressed in terms of the coupling constant.
• The one loop corrections to the propagators of all the fields are determined.
• It is shown that when the gap equation is satisfied the Faddeev-Popov ghost and both Bose and Grassmann localizing ghosts all enhance in the infrared limit at one loop.