Geodesic
$O(4)$-invariant solutions in Yang--Mills theory with scalar field
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 392-400

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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. 
@article{TMF_1986_68_3_a6,
     author = {V. A. Yatsun},
     title = {$O(4)$-invariant solutions in {Yang--Mills} theory with scalar field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {392--400},
     publisher = {mathdoc},
     volume = {68},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a6/}
}
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V. A. Yatsun. $O(4)$-invariant solutions in Yang--Mills theory with scalar field. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 392-400. http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a6/