Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-14
PoS QCD-TNT09:048,2009
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, proceeding for the International Workshop on QCD Green's Functions, Confinement, and Phenomenology (QCD-TNT09)
Scientific paper
This proceeding gives an overview of the renormalization of $F^2_{\mu\nu}$ using the Faddeev-Popov action and the more complicate Gribov-Zwanziger action, which deals with Gribov copies. We show that using the Faddeev-Popov action, $F^2_{\mu\nu}$ mixes with other $d=4$ operators. However, due to the BRST invariance of the action, this mixing is not relevant at the level of the correlator, $\Braket {F^2_{\mu\nu}(x) F^2_{\alpha \beta}(y)}$. In contrast, when turning to the Gribov-Zwanziger action, the mixing of $F^2_{\mu\nu}$ with other $d=4$ operator does have consequences at the level of the correlator. This is due to the breaking of the BRST. We then present a possible candidate for a physical operator in the Gribov-Zwanziger framework.
Dudal David
Sorella Silvio Paolo
Vandersickel Nele
Verschelde Henri
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