2000/07/01 by Hideo Nakajima, Nakajima, Hideo, Sadataka Furui +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Lattice (hep-lat) #Magnetic confinement fusion research #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0007001
17 pages, 2 figures, ICHEP2000 contributed paper
arxiv created 2000/07/01 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 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 uab which is expected to be -1ab in the continuum theory is found to be -0.7*1ab 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.