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

• Published in: arXiv.org
• Main Authors: Bogolubsky, I L, Bornyakov, V G, Burgio, G, E -M Ilgenfritz, Müller-Preussker, M, Mitrjushkin, V K
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.01.2008
• Subjects: Algorithms; Computer simulation; Fixing; Gauge theory; Physics - High Energy Physics - Lattice; Securities trading volume; Simulated annealing
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0707.3611

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.