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Degenerate gauge conditions,generalized Gribov ambiguity and BRST symmetry
Affiliation:1. Institute of Nuclear Physics Polish Academy of Sciences, 31-342, Kraków, Poland;2. Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, IL, 91904, Israel;3. Departamento de Ciencias Físicas, Universidad Andres Bello, Fernández Concha 700, Las Condes, Santiago, Chile;4. Millennium Institute for Subatomic Physics at High Energy Frontier - SAPHIR, Fernández Concha 700, Las Condes, Santiago, Chile;5. AstroTectonic Ltd., Juliusza Słowackiego 24, 35-069, Rzeszów, Poland;6. Astroparticle Physics Amateur, 34-500, Zakopane, Poland;7. Departamento de Física, Universidad de Extremadura, Avda. de Elvas s/n, 06006, Badajoz, Spain;8. Astronomical Observatory University of Warsaw, Al. Ujazdowskie 4, 00-478, Warsaw, Poland;9. Taras Shevchenko National University of Kyiv, 01601, Kyiv, Ukraine;10. AGH University of Krakow, al. Mickiewicza 30, 30-059, Kraków, Poland;11. Astrocent, Nicolaus Copernicus Astronomical Center, Rektorska 4, 00-614, Warsaw, Poland;12. Pedagogical University of Krakow, Podchorążych 2, 30-084, Kraków, Poland;13. Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, CZ-74601, Opava, Czech Republic;14. Space and Astroparticle Group, University of Alcalá; Ctra. Madrid-Barcelona, Km. 33.7, E-28871, Madrid, Spain;15. Wigner Research Centre for Physics, Konkoly-Thege Miklós út 29-33, H-1121 Budapest, Hungary;p. Department of Theoretical Physics, Faculty of Physics and Applied Informatics, University of Lodz, Pomorska 149/153, PL-90-236, Lodz, Poland;q. University of Napoli “Parthenope”, Department of Engineering, Centro Direzionale, Isola C4, 80143, Napoli, Italy;r. Irkutsk State University, Physical Department, K.Marx str., 1, Irkutsk, 664003, Russia;s. Astroparticle Physics Amateur, 58-170, Dobromierz, Poland;t. Department of Physics and Astronomy, University of Kansas, Lawrence, KS, 66045, USA;u. Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA;v. Faculty of Natural Sciences, University of Silesia in Katowice, Bankowa 9, 40-007, Katowice, Poland;w. National Centre for Nuclear Research (NCBJ), Soltana Str. 7, 05-400, Otwock, Swierk, Poland;x. Astronomical Observatory, Jagiellonian University, Orla Str. 171, 30-244, Kraków, Poland;y. Department of Computer Science, Cracow University of Technology, 31-155, Kraków, Poland;z. SKA Observatory Jodrell Bank, Lower Withington, Macclesfield Cheshire, SK11 9FT, UK;1. High Energy Accelerator Research Organization (KEK), Tsukuba, Japan;2. SOKENDAI (The Graduate University for Advanced Studies), Hayama 240-0193, Japan;3. University of Hawaii, Honolulu, HI, United States;4. Faculty of Mathematics and Physics, University of Ljubljana, Slovenia;5. Jožef Stefan Institute, Ljubljana, Slovenia;6. Department of Physics, Graduate School of Science, University of Tokyo, Japan
Abstract:
The BFV-BRST approach to gauge theories is considered. It is argued that the BRST-invariant boundary conditions ordinarily used do not maintain the necessary degeneracy in the gauge fixing. As a by-product of this discussion, the existence of a generalized Gribov-like ambiguity is suggested. This ambiguity is, however, shown to be just a particular BRST transformation.
Keywords:
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