Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate⟨A2⟩in the Landau gauge

2010/02/28 by David Dudal, D. Dudal, Orlando Oliveira +3 · 174 citations
Physics and Astronomy · #Formalism (music) #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Renormalization #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.81.074505

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 81(7) (American Physical Society) · 17 pages, 10 figures, updated version, accepted for publication in Phs.Rev.D

arxiv created 2010/03/26 · openalex publication_date 2010/04/16 · arxiv updated 2010/04/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the gluon propagator D(p²) at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate the tree level analytical prediction in terms of the (refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate ⟨A²⟩. Including this effect allows to obtain an acceptable fit around 1 to 1.5 GeV, while corroborating the refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate D(0)=8.3\ifmmode±\else\textpm\fi0.5 GeV^\ensuremath-2. As a by-product, we can also provide the prediction ⟨g²A²⟩\ensuremath≈3 GeV² obtained at the renormalization scale \ensuremathμ=10 GeV.

Citations

• Quantization of non-Abelian gauge theories
• Infrared and ultraviolet asymptotic solutions to gluon and ghost propagators in Yang–Mills theory
• Ghost-gluon running coupling, power corrections, and the determination ofΛMS¯
• Gribov copies, lattice QCD and the gluon propagator
• Infinite volume and continuum limits of the Landau-gauge gluon propagator
• Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group
• Resolving the instability of the Savvidy vacuum by dynamical gluon mass
• Infrared analysis of propagators and vertices of Yang-Mills theory in Landau and Coulomb gauge
• Are there short distance non-perturbative contributions to the QCD static potential?
• Description of gluon propagation in the presence of anA2condensate
• A determination of Aμ2 and the non-perturbative vacuum energy of Yang–Mills theory in the Landau gauge
• Some remarks on the Gribov ambiguity
• Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results
• Local and renormalizable action from the gribov horizon
• The Physics of Glueballs
• Glueball spectrum and matrix elements on anisotropic lattices
• More (thoughts on) Gribov copies
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach

Cited by

• Calculation of the nonperturbative strong coupling from first principles
• Generalized hedgehog ansatz and Gribov copies in regions with nontrivial topologies
• Glueball Masses from an Infrared Moment Problem
• Analytic structure of the lattice Landau gauge gluon and ghost propagators