The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge

Abstract

We prove that the nonlocal gauge invariant mass dimension two operator $F_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ can be consistently added to the Gribov-Zwanziger action, which implements the restriction of the path integral's domain of integration to the first Gribov region when the Landau gauge is considered. We identify a local polynomial action and prove the renormalizability to all orders of perturbation theory by employing the algebraic renormalization formalism. Furthermore, we also pay attention to the breaking of the BRST invariance, and to the consequences that this has for the Slavnov-Taylor identity.

30 pages

References in corpus (3)

• Gluon mass generation in the PT-BFM scheme
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Unitarity analysis of a non-Abelian gauge invariant action with a mass

Cited by in corpus (4)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Study of the nonlocal gauge invariant mass operator $\mathrm{Tr}\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the maximal Abelian gauge