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arXiv · 0910.2653

A candidate for the scalar glueball operator within the Gribov-Zwanziger framework

N. Vandersickel·D. Dudal·S. P. Sorella·H. Verschelde
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Abstract

This proceeding gives an overview of the renormalization of $F^2_{μν}$ 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, $F^2_{μν}$ 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, $\Braket {F^2_{μν}(x) F^2_{αβ}(y)}$. In contrast, when turning to the Gribov-Zwanziger action, the mixing of $F^2_{μν}$ 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.

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N. Vandersickel, D. Dudal, S. P. Sorella, H. Verschelde. 2009-10-14. A candidate for the scalar glueball operator within the Gribov-Zwanziger framework. https://arxiv.org/abs/0910.2653

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