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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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10 pages, 4 figures, changes to match the journal version and the Erratum

Scientific paper

10.1103/PhysRevD.77.014504

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 non-periodic 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. First signs in 4d of a final decrease towards vanishing momentum are discussed.

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