A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory free of the Gribov ambiguity”, TMF, 161:2 (2009), 204–211; Theoret. and Math. Phys., 161:2 (2009), 1497

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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 2, Pages 204–211
DOI: https://doi.org/10.4213/tmf6432 (Mi tmf6432)

This article is cited in 13 scientific papers (total in 13 papers)

Lorentz-invariant quantization of the Yang–Mills theory free of the Gribov ambiguity

A. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Full-text PDF (313 kB) Citations (13)

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DOI: https://doi.org/10.4213/tmf6432

Abstract: We propose a new formulation of the Yang–Mills theory that allows avoiding the Gribov ambiguity of gauge fixing.

Keywords: gauge, Gribov ambiguity, unitarity.

Received: 24.03.2009

English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 2, Pages 1497–1502
DOI: https://doi.org/10.1007/s11232-009-0136-x

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory free of the Gribov ambiguity”, TMF, 161:2 (2009), 204–211; Theoret. and Math. Phys., 161:2 (2009), 1497–1502

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Linking options:

https://www.mathnet.ru/eng/tmf6432

https://doi.org/10.4213/tmf6432

https://www.mathnet.ru/eng/tmf/v161/i2/p204

This publication is cited in the following 13 articles:

A. A. Slavnov, “A possibility to describe models of massive non-Abelian gauge fields in the framework of a renormalizable theory”, Theoret. and Math. Phys., 193:3 (2017), 1826–1833
Mielke E.W., “Maxwell and Yang-Mills Theory”: Mielke, EW, Geometrodynamics of Gauge Fields: on the Geometry of Yang-Mills and Gravitational Gauge Theories, 2Nd Edition, Mathematical Physics Studies, Springer International Publishing Ag, 2017, 37–63
A. A. Slavnov, “Nonperturbative quantization of models of massive non-Abelian gauge fields with spontaneously broken symmetry”, Theoret. and Math. Phys., 189:2 (2016), 1645–1650
Maas A., “More on the properties of the first Gribov region in Landau gauge”, Phys. Rev. D, 93:5 (2016), 054504
A. A. Slavnov, “New approach to the quantization of the Yang–Mills field”, Theoret. and Math. Phys., 183:2 (2015), 585–596
A. A. Slavnov, “Quantization of non-Abelian gauge fields”, Proc. Steklov Inst. Math., 289 (2015), 286–290
A. A. Slavnov, “Soliton solutions of classical equations of motions in the modified formulation of the Yang–Mills theory”, Theoret. and Math. Phys., 184:3 (2015), 1342–1349
P. S. Anisimov, “One-loop calculation of the $\beta$-function in the modified formulation of the Yang–Mills theory”, Theoret. and Math. Phys., 180:3 (2014), 1005–1018
A. A. Slavnov, “Quantization of non-Abelian gauge fields beyond the perturbation theory framework”, Theoret. and Math. Phys., 181:1 (2014), 1302–1306
Slavnov A.A., “Nonabelian Gauge Fields Beyond Perturbation Theory”, II Russian-Spanish Congress on Particle and Nuclear Physics At All Scales, Astroparticle Physics and Cosmology, AIP Conference Proceedings, 1606, ed. Andrianov A. Espriu D. Andrianov V. Kolevatov S., Amer Inst Physics, 2014, 346–348
A. A. Slavnov, “The Yang–Mills theory as a massless limit of a massive gauge-invariant model”, Theoret. and Math. Phys., 175:1 (2013), 447–453
A. Quadri, A. A. Slavnov, “Ambiguity-free formulation of the Higgs–Kibble model”, Theoret. and Math. Phys., 166:3 (2011), 291–302
Quadri A., Slavnov A.A., “Renormalization of the Yang-Mills theory in the ambiguity-free gauge”, J. High Energy Phys., 2010, no. 7, 087, 22 pp.

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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