Geodesic
$O(4)$-invariant solutions in Yang–Mills theory with scalar field
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 392-400 
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/
@article{TMF_1986_68_3_a6,
     author = {V. A. Yatsun},
     title = {$O(4)$-invariant solutions in {Yang{\textendash}Mills} theory with scalar field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {392--400},
     year = {1986},
     volume = {68},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a6/}
}
TY  - JOUR
AU  - V. A. Yatsun
TI  - $O(4)$-invariant solutions in Yang–Mills theory with scalar field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1986
SP  - 392
EP  - 400
VL  - 68
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a6/
LA  - ru
ID  - TMF_1986_68_3_a6
ER  - 
%0 Journal Article
%A V. A. Yatsun
%T $O(4)$-invariant solutions in Yang–Mills theory with scalar field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 392-400
%V 68
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a6/
%G ru
%F TMF_1986_68_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] 't Hooft G., Phys. Rev., D14:12 (1976), 3432–3450

[2] Corrigan E., Fairlie D. B., Phys. Lett., B67:1 (1977), 69–74 | DOI | MR

[3] Wilczek F., Quark confinement and field theory, eds. D. Stump, D. Weingarten, 1977

[4] Bukhvostov A. P., Lipatov L. N., Malkov E. M., Pisma v ZhETF, 27:10 (1978), 594–599

[5] Lipatov L. N., Bukhvostov A. P., Malkov E. M., Phys. Rev., D19:10 (1979), 2974–2983

[6] Actor A., Z. Physik C, Particles and fields, 3 (1980), 353–356 | DOI | MR

[7] Belavin A. A., Polyakov A. M., Schwartz A. S., Tyupkin Yu. S., Phys. Lett., 59B:1 (1975), 85–87 | DOI | MR

[8] Actor A., Rev. Mod. Phys., 51:3 (1979), 461–525 | DOI | MR

[9] De Alfaro V., Fubini S., Furlan G., Phys. Lett., 66B:2 (1976), 163–166 | DOI | MR

[10] Ismagilov R. G., Franke V. A., TMF, 52:2 (1982), 229–236 | MR