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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 3, Pages 402–412 (Mi tmf5905)  
This article is cited in 5 scientific papers (total in 5 papers)

Solutions of Yang–Mills and Yang–Mills–Higgs equations

A. D. Popov
Full-text PDF (1355 kB) Citations (5)
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Abstract: The Yang–Mills (YM) and Yang–Mills–Higgs (YMH) models are considered for arbitrary semisimple gauge Lie groups $G$. Ansatzes are introduced that reduce the YM and YMH equations to the equations of the model of a scalar field and ordinary differential equations (Nahm equations). With each solution of these equations there is associated a solution of the YM equations of instanton type or a solution of the YMH equations of monopole type. Solutions for the groups SU(2) and SU(3) are given as examples.
Received: 14.05.1991
English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 3, Pages 1297–1304
DOI: https://doi.org/10.1007/BF01017825
Bibliographic databases:
Language: Russian
Citation: A. D. Popov, “Solutions of Yang–Mills and Yang–Mills–Higgs equations”, TMF, 89:3 (1991), 402–412; Theoret. and Math. Phys., 89:3 (1991), 1297–1304
Citation in format AMSBIB
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\by A.~D.~Popov
\paper Solutions of Yang--Mills and Yang--Mills--Higgs equations
\jour TMF
\yr 1991
\vol 89
\issue 3
\pages 402--412
\mathnet{http://mi.mathnet.ru/tmf5905}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1146425}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 89
\issue 3
\pages 1297--1304
\crossref{https://doi.org/10.1007/BF01017825}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991JA04100007}
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  • https://www.mathnet.ru/eng/tmf5905
  • https://www.mathnet.ru/eng/tmf/v89/i3/p402
    • This publication is cited in the following 5 articles:
    1. ALEXANDER D. POPOV, “BOUNCES/DYONS IN THE PLANE WAVE MATRIX MODEL AND SU(N) YANG–MILLS THEORY”, Mod. Phys. Lett. A, 24:05 (2009), 349  crossref
    2. Alexander D. Popov, “Explicit non-Abelian monopoles and instantons inSU(N)pure Yang-Mills theory”, Phys. Rev. D, 77:12 (2008)  crossref
    3. Filip Franco-Sollova, Tatiana A Ivanova, “On noncommutative merons and instantons”, J. Phys. A: Math. Gen., 36:14 (2003), 4207  crossref
    4. T. A. Ivanova, A. D. Popov, “(Anti)self-dual gauge fields in dimension $d\ge 4$”, Theoret. and Math. Phys., 94:2 (1993), 225–242  mathnet  crossref  mathscinet  zmath  isi
    5. T.A. Ivanova, “Octonions, self-duality and strings”, Physics Letters B, 315:3-4 (1993), 277  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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