Geodesic
Integrable model of Yang–Mills theory with scalar field and quasi-instantons
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 47-60 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Within the framework of the Euclidean conformal invariant Yang–Mills theory with a scalar field, a two-dimensional Hamiltonian system is considered which is integrable under the definite relationship between coupling constants. A particular solution of the Hamilton–Jacobi equation leads to the system of first order equations providing nonself-dual instanton-like solution of the model considered. As a generalization of the system, the quasi-self-duality equation is suggested which is integrated by means of 't Hooft ansatz and results in quas-self-dual instantons – quasi-instantons. 
@article{TMF_1987_73_1_a4,
     author = {V. A. Yatsun},
     title = {Integrable model of {Yang{\textendash}Mills} theory with scalar field and quasi-instantons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {47--60},
     year = {1987},
     volume = {73},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a4/}
}
TY  - JOUR
AU  - V. A. Yatsun
TI  - Integrable model of Yang–Mills theory with scalar field and quasi-instantons
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 47
EP  - 60
VL  - 73
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a4/
LA  - ru
ID  - TMF_1987_73_1_a4
ER  - 
%0 Journal Article
%A V. A. Yatsun
%T Integrable model of Yang–Mills theory with scalar field and quasi-instantons
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 47-60
%V 73
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a4/
%G ru
%F TMF_1987_73_1_a4
V. A. Yatsun. Integrable model of Yang–Mills theory with scalar field and quasi-instantons. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 1, pp. 47-60. http://geodesic.mathdoc.fr/item/TMF_1987_73_1_a4/

[1] Faddeev L. D., Korepin V. E., Phys. Rep., 42C:1 (1978), 1–87 | DOI | MR

[2] Jackiw R., Rev. Mod. Phys., 49:3 (1977), 681–706 | DOI | MR

[3] Filippov A. T., EChAYa, 11:3 (1980), 735–801 | MR

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

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

[6] Zinovev Yu. M., Leznov A. N., Savelev M. V., TMF, 32:3 (1977), 424–430 | MR

[7] Burlankov D. E., Dutyshev V. N., ZhETF, 73:2 (1977), 377–380

[8] Witten E., Phys. Rev. Lett., 38:3 (1977), 121–124 | DOI

[9] Jackiw R., Rebbi C., Phys. Rev., D14:2 (1976), 517–523 | MR

[10] Jackiw R., Nohl C., Rebbi C., Phys. Rev., D15:6 (1977), 1642–1646 | MR

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

[12] Atiyah M. F., Hitchin N. J., Drinfeld V. G., Manin Yu. I., Phys. Lett., 65A:3 (1978), 185–187 | DOI | MR | Zbl

[13] Semikhatov A. M., Pisma v ZhETF, 35:10 (1982), 452–455

[14] Volovich I. V., TMF, 54:1 (1983), 89–98 | MR

[15] Nielsen H. B., Olesen P., Nucl. Phys., B61:1 (1973), 45–55 | DOI

[16] de Vega H. J., Schaposnik F. A., Phys. Rev., D14:4 (1976), 1100–1106 | MR

[17] Bogomolnyi E. B., YaF, 24:4 (1976), 861–870 | MR

[18] Polyakov A. M., Pisma v ZhETF, 20:4 (1974), 430–433

[19] 't Hooft G., Nucl. Phys., B79:2 (1974), 276–284 | DOI | MR

[20] Manton N. S., Phys. Lett., B76:1 (1978), 111–112 | DOI

[21] Sasaki R., Progr. Theor. Phys., 62:1 (1979), 214–225 | DOI

[22] Jackiw R., Rebbi C., Phys. Lett., 67B:2 (1977), 189–192 | DOI | MR

[23] Giambiagi J. J., Rothe K. D., Nucl. Phys., B129:1 (1977), 111–124 | DOI | MR

[24] Uhlenbeck K. K., Commun. Math. Phys., 83:1 (1982), 11–29 | DOI | MR | Zbl

[25] Furlan G., Gava E., Lett. Nuovo Cim., 23:17 (1978), 621–625 | DOI

[26] Yatsun V. A., DAN SSSR, 289:3 (1986), 589–592 | MR

[27] Mainland G. B., Takasugi E., Tanaka K., Lett. Nuovo Cim., 19:14 (1977), 556–560 | DOI

[28] Hietarinta J., Phys. Lett., 96A:6 (1983), 273–278 | DOI | MR

[29] Chodos A., Sommerfield Ch. M., J. Math. Phys., 24:2 (1983), 271–275 | DOI | MR | Zbl

[30] Arnold V. I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1979 | MR

[31] Romanov V. N., Fateev V. A., TMF, 33:2 (1977), 286–287 | MR

[32] Dyson F. J., Phys. Rev., 85:4 (1952), 631–632 | DOI | MR | Zbl

[33] Jaffe A. M., Commun. Math. Phys., 1:2 (1965), 127–149 | DOI | MR | Zbl

[34] Lipatov L. N., ZhETF, 72:3 (1977), 411–419 | MR

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

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

[37] Actor A., Z. Physik, C3 (1980), 353–356 | MR