1997/11/30 by Attilio Cucchieri · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1016/s0550-3213(98)00235-1
published as Nucl.Phys. B521 (1998) 365-379 · 17 pages, including two figures; latex style has been corrected
arxiv created 1997/12/16 · openalex publication_date 1998/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study numerically the so-called fundamental modular region Lambda, a region free of Gribov copies, in the minimal Landau gauge for pure SU(2) lattice gauge theory. To this end we evaluate the influence of Gribov copies on several quantities --- such as the smallest eigenvalue of the Faddeev-Popov matrix, the third and the fourth derivatives of the minimizing function, and the so-called horizon function --- which are used to characterize the region Lambda. Simulations are done at four different values of the coupling: beta = 0, 0.8, 1.6, 2.7, and for volumes up to 164. We find that typical (thermalized and gauge-fixed) configurations, including those belonging to the region Lambda, lie very close to the Gribov horizon ∂ Ω, and are characterized, in the limit of large lattice volume, by a negative-definite horizon tensor.