Numerical study of the Kugo-Ojima criterion and the Gribov problem in the Landau gauge

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dc.creatorNakajima, Hideo
dc.creatorFurui, Sadataka
dc.creatorYamaguchi, Azusa
dc.date2000-07-01
dc.date.accessioned2026-07-07T03:38:19Z
dc.date.available2026-07-07T03:38:19Z
dc.descriptionThe Kugo-Ojima color confinement criterion, which is based on the BRST symmetry of the continuum QCD is numerically tested by the lattice Landau gauge simulation. We first discuss the Gribov copy problem and the BRST symmetry on the lattice. The lattice Landau gauge can be formulated with options of the gauge field definition, U(link)-linear type or log U type. The Kugo-Ojima parameter u^a_b which is expected to be -1^a_b in the continuum theory is found to be -0.7*1^a_b in the strong coupling region, and the magnitude is a little less in the weak coupling region in log U type simulation. Those values are weakened even further in U-linear type. The horizon function defined by Zwanziger is evaluated in both types of gauge field and compared. The horizon function in the log U version is larger than the other, but in the weak coupling region, the expectation value of the horizon function is suggested to be zero or negative.
dc.description17 pages, 2 figures, ICHEP2000 contributed paper
dc.identifierhttps://arxiv.org/abs/hep-lat/0007001
dc.identifierhttp://arxiv.org/abs/hep-lat/0007001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38487
dc.subjectHigh Energy Physics - Lattice
dc.titleNumerical study of the Kugo-Ojima criterion and the Gribov problem in the Landau gauge
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