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Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator

2007/07/31 by I. L. Bogolubsky, I.L. Bogolubsky, V. G. Bornyakov +8 · 1 citation
Physics and Astronomy · #Condensed matter physics #Finite volume method #Gauge boson #Gauge fixing #Gauge theory #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #hep-lat

paper · pdf · doi:10.1103/physrevd.77.014504

published as Phys.Rev.D77:014504,2008; Erratum-ibid.D77:039902,2008 · 10 pages, 4 figures, changes to match the journal version and the Erratum

openalex publication_date 2008/01/09 · arxiv created 2008/01/15 · arxiv updated 2016/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the gluon propagator of pure SU(2) lattice gauge theory in the Landau gauge we investigate the effect of Gribov copies and finite-volume effects. Concerning gauge fixing, we enlarge the accessible gauge orbits by adding nonperiodic ℤ(2) gauge transformations and systematically employ the simulated annealing algorithm. Strategies to keep all ℤ(2) sectors under control within reasonable CPU time are discussed. We demonstrate that the finite-volume effects in the infrared regime become ameliorated. Reaching a physical volume of about (6.5 fm)4, we find that the propagator, calculated with the indicated improvements, becomes flat in the region of smallest momenta. There are first signs in four dimensions of a decrease towards vanishing momentum.

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