1995/11/17 by Kazuo Fujikawa, Fujikawa, Kazuo
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9511124
20 pages plus 1 figure. To be published in the Proceedings of International Symposium on BRS Symmetry(Universal Academy Press, Tokyo)
arxiv created 1995/11/17 · openalex publication_date 1995/11/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After a brief historical comment on the study of BRS(or BRST) symmetry , we discuss the quantization of gauge theories with Gribov copies. 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(x)) is ``globally single valued'', where f( Aμω(x)) = 0 specifies the gauge condition. As an example of the theory which satisfies this criterion, we comment on a soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren. We also comment on a possible connection of the dynamical instability of BRST symmetry with the Gribov problem on the basis of an index notion.