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

Journal Article · Tue Aug 01 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.034503· OSTI ID:20869262

Bogolubsky, I L; Burgio, G; Mueller-Preussker, M; Mitrjushkin, V K ^[1]

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1. Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)

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.

• OSTI ID: 20869262
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
GAUGE INVARIANCE
GLUONS
LATTICE FIELD THEORY
LORENTZ INVARIANCE
PROPAGATOR
SU-2 GROUPS