N. V. Smolyakov, “Furry theorem for non-abelian gauge Lagrangians”, TMF, 50:3 (1982), 344–349; Theoret. and Math. Phys., 50:3 (1982), 225

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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 50, Number 3, Pages 344–349 (Mi tmf2289)

This article is cited in 18 scientific papers (total in 18 papers)

Furry theorem for non-abelian gauge Lagrangians

N. V. Smolyakov

Full-text PDF (729 kB) Citations (18)

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Abstract: It is shown that in a gauge-invariant Lagrangian (without

$\gamma^5$ -anomalies) based on an irreducible representation of simple compact Lie algebras it is always possible to define an operation of

$C$ -parity with respect to which the Lagrangian is invariant. This imposes certain requirements on the algebraic structure of the vertex functions.

Received: 07.01.1981

English version:
Theoretical and Mathematical Physics, 1982, Volume 50, Issue 3, Pages 225–228
DOI: https://doi.org/10.1007/BF01016449

Bibliographic databases:

Language: Russian

Citation: N. V. Smolyakov, “Furry theorem for non-abelian gauge Lagrangians”, TMF, 50:3 (1982), 344–349; Theoret. and Math. Phys., 50:3 (1982), 225–228

Citation in format AMSBIB

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\by N.~V.~Smolyakov

\paper Furry theorem for non-abelian gauge Lagrangians

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\vol 50

\issue 3

\pages 344--349

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=662210}

\transl

\jour Theoret. and Math. Phys.

\yr 1982

\vol 50

\issue 3

\pages 225--228

\crossref{https://doi.org/10.1007/BF01016449}

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Linking options:

https://www.mathnet.ru/eng/tmf2289

https://www.mathnet.ru/eng/tmf/v50/i3/p344

This publication is cited in the following 18 articles:

M. Ghasemkhani, G. Soleimani, R. Bufalo, “On the gauge invariance of the higher-derivative Yang–Mills–Chern–Simons action”, Eur. Phys. J. C, 84:5 (2024)
A. C. Aguilar, M. N. Ferreira, J. Papavassiliou, L. R. Santos, “Four-gluon vertex in collinear kinematics”, Eur. Phys. J. C, 84:7 (2024)
Nahuel Barrios, Marcela Peláez, Urko Reinosa, “Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders”, Phys. Rev. D, 106:11 (2022)
Felipe Figueroa, Marcela Peláez, “One-loop unquenched three-gluon and ghost-gluon vertices in the Curci-Ferrari model”, Phys. Rev. D, 105:9 (2022)
A.C. Aguilar, F. De Soto, M.N. Ferreira, J. Papavassiliou, J. Rodríguez-Quintero, “Infrared facets of the three-gluon vertex”, Physics Letters B, 818 (2021), 136352
Marcela Peláez, Urko Reinosa, Julien Serreau, Matthieu Tissier, Nicolás Wschebor, “A window on infrared QCD with small expansion parameters”, Rep. Prog. Phys., 84:12 (2021), 124202
Shan Hu, “S -duality and loop operators in canonical formalism”, Phys. Rev. D, 103:4 (2021)
Markus Q. Huber, “Correlation functions of Landau gauge Yang-Mills theory”, Phys. Rev. D, 101:11 (2020)
Markus Q. Huber, “Nonperturbative properties of Yang–Mills theories”, Physics Reports, 879 (2020), 1
Nahuel Barrios, Marcela Peláez, Urko Reinosa, Nicolás Wschebor, “Ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections”, Phys. Rev. D, 102:11 (2020)
Milan Vujinović, Tereza Mendes, “Probing the tensor structure of lattice three-gluon vertex in Landau gauge”, Phys. Rev. D, 99:3 (2019)
Markus Q. Huber, “On non-primitively divergent vertices of Yang–Mills theory”, Eur. Phys. J. C, 77:11 (2017)
Matthias R. Kauth, Johann H. Kühn, Peter Marquard, Matthias Steinhauser, “Gluino pair production at the LHC: The threshold”, Nuclear Physics B, 857:1 (2012), 28
Dilani Kahawala, Yevgeny Kats, “Distinguishing spins at the LHC using bound state signals”, J. High Energ. Phys., 2011:9 (2011)
W. Grimus, H. Kühböck, “A renormalizable SO(10) GUT scenario with spontaneous CP violation”, Eur. Phys. J. C, 51:3 (2007), 721
JETP Letters, 75:5 (2002), 221–224
W. Grimus, M.N. Rebelo, “Automorphisms in gauge theories and the definition of CP and P”, Physics Reports, 281:4 (1997), 239
M. Dütsch, T. Hurth, G. Scharf, “Causal construction of Yang-Mills theories”, Nuov Cim A, 108:6 (1995), 737

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

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