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TMF, 1986, Volume 68, Number 3, Pages 392–400 (Mi tmf5192)  

$O(4)$-invariant solutions in Yang–Mills theory with scalar field

V. A. Yatsun


Abstract: The representation of 't Hooft is used to establish a correspondence between the class of gauge fields of a non-Abelian Higgs model and the solutions of a scalar field theory with nonlinear interaction. The existence of $O(4)$-invariant instanton type solutions is proved. An explicit example of a nonself-dual instanton is constructed, together with instanton-antiinstanton and meron-instanton pairs.

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English version:
Theoretical and Mathematical Physics, 1986, 68:3, 901–906

Bibliographic databases:

Received: 10.04.1985

Citation: V. A. Yatsun, “$O(4)$-invariant solutions in Yang–Mills theory with scalar field”, TMF, 68:3 (1986), 392–400; Theoret. and Math. Phys., 68:3 (1986), 901–906

Citation in format AMSBIB
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\by V.~A.~Yatsun
\paper $O(4)$-invariant solutions in Yang--Mills theory with scalar field
\jour TMF
\yr 1986
\vol 68
\issue 3
\pages 392--400
\mathnet{http://mi.mathnet.ru/tmf5192}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=871063}
\zmath{https://zbmath.org/?q=an:0615.53077}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 68
\issue 3
\pages 901--906
\crossref{https://doi.org/10.1007/BF01019391}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986G881200007}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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