1995/10/17 by Kazuo Fujikawa · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1016/0550-3213(96)00124-1
published as Nucl.Phys. B468 (1996) 355-379 · 30 pages plus 1 figure
arxiv created 1995/10/17 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between τ and the gauge parameter ω defined by τ(x) = f( Aμω) is ``globally single valued'', where f( Aμω) = 0 specifies the gauge condition. A soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren satisfies this criterion. A detailed BRST analysis of the soluble model proposed by the above authors is presented. The BRST symmetry, if it is consistently implemented, ensures the gauge independence of physical quantities. In particular, the vacuum (ground) state and the perturbative corrections to the ground state energy in the above model are analysed from a view point of BRST symmetry and Rξ-gauge. Implications of the present analysis on some aspects of the Gribov problem in non-Abelian gauge theory, such as the 1/N expansion in QCD and also the dynamical instability of BRST symmetry, are briefly discussed.