Remark on the BRST symmetry in the Gribov-Zwanziger theory
Abstract
We show that the soft breaking of the Becchi, Rouet, Stora, and Tyutin (BRST) symmetry arising in the Gribov-Zwanziger theory can be converted into a linear breaking upon introduction of a set of BRST quartets of auxiliary fields. Because of its compatibility with the quantum action principle, the linearly broken BRST symmetry can be directly converted into a suitable set of useful Slavnov-Taylor identities. As a consequence, it turns out that the renormalization aspects of the Gribov-Zwanziger theory can be addressed by means of the cohomology of a nilpotent local operator.
- Publication:
-
Physical Review D
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1009.4135
- Bibcode:
- 2010PhRvD..82j5019C
- Keywords:
-
- 12.38.Aw;
- 11.10.Gh;
- 12.38.Lg;
- General properties of QCD;
- Renormalization;
- Other nonperturbative calculations;
- High Energy Physics - Theory;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 11 pages, final version to appear in Phys. Rev. D