Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-28
Phys.Rev.D83:105001,2011
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, references added, version accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.83.105001
In previous work arXiv:1009.4135 we have shown that the soft breaking of the BRST symmetry arising within the Gribov-Zwanziger framework can be converted into a linear breaking, while preserving the nilpotency of the BRST operator. Due to its compatibility with the Quantum Action Principle, the linearly broken BRST symmetry directly translates into a set of Slavnov-Taylor identities. We show that these identities guarantee the multiplicative renormalizability of both Gribov-Zwanziger and Refined Gribov-Zwanziger theories to all orders. The known property that only two renormalization factors are needed is recovered. The non-renormalization theorem of the gluon-ghost-antighost vertex as well as the renormalization factor of the Gribov parameter are derived within the linearly broken formulation.
Capri M. A. L.
Gomez Juan Alexander
Guimaraes Marcelo S.
Lemes V. E. R.
Sorella Silvio Paolo
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