Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators

Abstract

Either by solving the ghost propagator DSE or through a one-loop computation in the RGZ (Refined Gribov-Zwanziger) formalism, we show that a non-trivial ghost-gluon vertex is anyhow required to obtain a ghost propagator prediction compatible with the available corresponding lattice data in the SU(3) case. For the necessary gluon propagator input, we present RGZ tree level fits which account well for the gluon lattice data. Interestingly, this propagator can be rewritten in terms of a running gluon mass. A comparison of both DSE and RGZ results for the ghost propagator is furthermore provided. We also briefly discuss the connection between the RGZ and the OPE $d=2$ gluon condensate.

21 pages, 3 figures

References in corpus (26)

• 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
• Pinch Technique: Theory and Applications
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Infrared propagators of Yang-Mills theory from perturbation theory
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• 1/q^2 Corrections and Gauge/String Duality
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• Toward a Systematic Holographic QCD: A Braneless Approach
• Chiral symmetry breaking with lattice propagators
• Dynamical Soft-Wall AdS/QCD
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Infrared Gluon and Ghost Propagators
• On the reduction of hypercubic lattice artifacts
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
• The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in large lattice volumes
• Enumerating Gribov copies on the lattice
• Dimension-two gluon condensate from large-Nc Regge models
• One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD
• The infrared fixed point of Landau gauge Yang-Mills theory: A renormalization group analysis
• Vacuum quark condensate, chiral Lagrangian, and Bose-Einstein statistics
• Finite volume effects in the gluon propagator

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• Spontaneous breaking of the BRST symmetry in presence of the Gribov horizon: renormalizability
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• A Universal Constraint on the Infrared Behavior of the Ghost Propagator in QCD
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