Numerical studies of confinement in the lattice Landau gauge
arXiv:hep-lat/0010083 · doi:10.1016/S0920-5632(01)00866-0
Abstract
Critical conjectures on confinement in the Landau gauge is numerically tested in focus to Gribov copy effects. One of the subjects is of the Kugo-Ojima confinement criterion and the other is of various viewpoints in the Gribov-Zwanziger theory. We use the smearing gauge as a reference gauge free of Gribov copy, and performed three types of simulations, log U, U-linear and log U in the smearing gauge. It is found that Gribov copy effect on the Kugo-Ojima parameter is small. log U and U-linear simulations yield only global scale factor difference in gluon propagator and in ghost propagator, and about 10% difference in Kugo-Ojima parameter. The horizon function defined by Zwanziger is evaluated in three types of gauge field and compared. All data show the negative horizon function as expected.
4 pages, 2 eps figures, espcrc2.sty included, Lattice 2000 contribution(Confinement and Strings)
References in corpus (2)
Cited by in corpus (6)
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- SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
- Avoiding the Landau-pole in perturbative QCD