Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
arXiv:1102.5695 · doi:10.1103/PhysRevD.83.105001
Abstract
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.
20 pages, references added, version accepted for publication in Physical Review D
References in corpus (15)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- The Physics of Glueballs
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate in the Landau gauge
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- Glueball masses from an infrared moment problem and nonperturbative Landau gauge
- Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
- Gribov horizon and BRST symmetry: a few remarks
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework
- The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory
- Constructing local composite operators for glueball states from a confining Gribov propagator