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Landau gauge ghost and gluon propagators inSU(2)lattice gauge theory: Gribov ambiguity reexamined

2005/11/30 by I.L. Bogolubsky, I. L. Bogolubsky, G. Burgio +5 · 6 citations
Physics and Astronomy · #Gauge boson #Gauge fixing #Gauge theory #Gluon #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.74.034503

published as Phys.Rev. D74 (2006) 034503 · 11 pages, 12 figures. Some changes in the exposition, figures and text added. To appear on Phys. Rev. D

arxiv created 2006/07/20 · openalex publication_date 2006/08/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We reinvestigate the problem of Gribov ambiguities within the Landau (or Lorentz) gauge for the ghost and gluon propagators in pure SU(2) lattice gauge theory. We make use of the full symmetry group of the action taking into account large, i.e. nonperiodic, ℤ(2) gauge transformations leaving lattice plaquettes invariant. Enlarging in this way the gauge orbits for any given gauge field configuration the Landau gauge can be fixed at higher local extrema of the gauge functional in comparison with standard (overrelaxation) techniques. This has a clearly visible effect not only for the ghost propagator at small momenta but also for the gluon propagator, in contrast to the common belief.

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