arXiv:1009.4135·v2·High Energy Physics — Theory
A remark on the BRST symmetry in the Gribov-Zwanziger theory
M. A. L. Capri🇧🇷 · A. J. Gomez🇧🇷 · M. S. Guimaraes🇧🇷 · V. E. R. Lemes🇧🇷 · S. P. Sorella🇧🇷 · D. G. Tedesco🇧🇷
Abstract
We show that the soft breaking of the 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. Due to 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
Comments: 11 pages, final version to appear in Phys. Rev. D