Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
arXiv:0904.4897 · doi:10.1016/j.physletb.2009.06.026
Abstract
We rewrite the Zwanziger horizon condition in terms of the Kugo-Ojima parameter for color confinement. This enables one to explain which value of the Kugo-Ojima parameter is allowed if the horizon condition is imposed. Although all the calculations are performed in the limit of vanishing Gribov parameter for simplicity, the obtained value is consistent with the result of numerical simulations. Consequently, the ghost propagator behaves like free and the gluon propagator is non-vanishing at low momenta, in harmony with recent lattice results and decoupling solution of the Schwinger-Dyson equation. The Kugo-Ojima criterion is realized only when the restriction is removed.
15 pages, 1 figure, a version accepted for publication in Phys.Lett.B: minor changes and addition of references in [8]
References in corpus (12)
- 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
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- 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
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
- Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
- Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
- Infrared finite effective charge of QCD
- Some exact infrared properties of gluon and ghost propagators and long-range force in QCD
Cited by in corpus (10)
- Non-perturbative comparison of QCD effective charges
- On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
- On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
- Gauge Sector Dynamics in QCD
- Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
- The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory
- Gluon mass scale through the Schwinger mechanism
- Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon
- Color confinement and restoration of residual local gauge symmetries
- The self-dual gauge fields and the domain wall fermion zero modes