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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 1042–1055
DOI: https://doi.org/10.31857/S004446692206014X (Mi zvmmf11415) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical physics

Hyperbolic singular value decomposition in the study of Yang–Mills and Yang–Mills–Proca equations

D. S. Shirokovab

a HSE University, 101000, Moscow, Russia
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, 127051, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S004446692206014X
Abstract: The hyperbolic singular value decomposition is used for studying the Yang–Mills equations with SU(2) gauge symmetry and the Yang–Mills–Proca equations in a pseudo-Euclidean (or Euclidean) space of an arbitrary finite dimension and signature. An explicit form of all constant solutions to the system of Yang–Mills–Proca equations in the case of the Lie group SU(2) is obtained. Nonconstant solutions to the Yang–Mills–Proca equations are considered as perturbation theory series.
Key words: Yang–Mills equations, Yang–Mills–Proca equations, hyperbolic singular value decomposition, singular value decomposition, SU(2), constant solutions, pseudo-Euclidean space.
Funding agency Grant number
Russian Science Foundation 21-71-00043
This work was supported by the Russian Science Foundation, project no. 21-71-00043, https://rscf.ru/project/21-71-00043/.
Received: 15.11.2021
Revised: 24.12.2021
Accepted: 11.02.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 1007–1019
DOI: https://doi.org/10.1134/S0965542522060136
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: D. S. Shirokov, “Hyperbolic singular value decomposition in the study of Yang–Mills and Yang–Mills–Proca equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 1042–1055; Comput. Math. Math. Phys., 62:6 (2022), 1007–1019
Citation in format AMSBIB
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\by D.~S.~Shirokov
\paper Hyperbolic singular value decomposition in the study of Yang--Mills and Yang--Mills--Proca equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 1042--1055
\mathnet{http://mi.mathnet.ru/zvmmf11415}
\crossref{https://doi.org/10.31857/S004446692206014X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4452831}
\elib{https://elibrary.ru/item.asp?id=48506080}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 1007--1019
\crossref{https://doi.org/10.1134/S0965542522060136}
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  • https://www.mathnet.ru/eng/zvmmf/v62/i6/p1042
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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