Covariant perturbation theory in the neighborhood of a classical solution
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 361-384 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A manifestly covariant procedure for canonical quantization in the neighborhood of classical solutions of soliton type is proposed on the basis of a Bogolyubov transformation.
@article{TMF_1983_55_3_a3,
     author = {K. A. Sveshnikov},
     title = {Covariant perturbation theory in the neighborhood of a~classical solution},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {361--384},
     year = {1983},
     volume = {55},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a3/}
}
TY  - JOUR
AU  - K. A. Sveshnikov
TI  - Covariant perturbation theory in the neighborhood of a classical solution
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 361
EP  - 384
VL  - 55
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a3/
LA  - ru
ID  - TMF_1983_55_3_a3
ER  - 
%0 Journal Article
%A K. A. Sveshnikov
%T Covariant perturbation theory in the neighborhood of a classical solution
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 361-384
%V 55
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a3/
%G ru
%F TMF_1983_55_3_a3
K. A. Sveshnikov. Covariant perturbation theory in the neighborhood of a classical solution. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 361-384. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a3/

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

[2] Coleman S., “Classical lumps and their quantum descendents”, New phenomena in subnuclear physics, ed. Zichichi A., Plenum Press, N.-Y., London, 1977, 297–421 | DOI | MR

[3] “Nonperturbative aspects in quantum field theory”, Phys. Rep., 49, no. 2, eds. Brezin E., Gerveis J.-L., 1979, 91–375 | DOI

[4] Korepin V. E., Faddeev L. D., TMF, 25:2 (1975), 147–164 | MR

[5] Dashen R., Hasslacher B., Neveu A., Phys. Rev. D, 10:12 (1974), 4114–4148 | DOI

[6] Coldstone J., Jackiw R., Phys. Rev. D, 11:6 (1975), 1486–1505 | DOI

[7] Faddeev L. D., Korepin V. E., Phys. Rep., 42:1 (1978), 1–78 | DOI | MR

[8] Bogolyubov N. N., UMZh, 2:2 (1950), 3–24 ; Избр. тр., т. 2, Наукова думка, Киев, 1970, 499–520 | MR | Zbl | MR | Zbl

[9] Bogolyubov N. N., Krylov N. M., Vvedenie v nelineinuyu mekhaniku, izd-vo AN USSR, Kharkov, 1937, 328

[10] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, GITTL, M., 1955, 444 pp. | MR

[11] Solodovnikova E. P., Tavkhelidze A. N., Khrustalev O. A., TMF, 11:3 (1972), 317–330

[12] Razumov A. V., Khrustalev O. A., TMF, 29:3 (1976), 300–308 | MR

[13] Gerveis J.-L., Jevicki A., Sakita B., Phys. Rev. D, 12:4 (1975), 1038–1051 | DOI

[14] Tomboulis E., Phys. Rev. D, 12:6 (1975), 1678–1683 | DOI

[15] Razumov A. V., TMF, 30:1 (1976), 18–35 | MR

[16] Khrustalev O. A., Razumov A. V., Taranov A. Yu., Nucl. Phys. B, 172 (1980), 44–58 | DOI | MR

[17] Solodovnikova E. P., Tavkhelidze A. N., Khrustalev O. A., TMF, 10:2 (1972), 162–181

[18] Solodovnikova E. P., Tavkhelidze A. N., Khrustalev O. A., TMF, 12:2 (1972), 164–178

[19] Razumov A. V., Taranov A. Yu., TMF, 35:3 (1978), 312–321 | MR

[20] Dirak P. A. M., Lektsii po kvantovoi mekhanike, Mir, M., 1968, 117 pp.

[21] Sklyanin E. K., Takhtadzhyan L. A., Faddeev L. D., TMF, 40:2 (1979), 194–220 | MR

[22] Zamolodchikov A. B., Zamolodchikov A. B., Ann of Phys., 120:2 (1979), 253–291 | DOI | MR

[23] Berken Dzh. D., Drell S. D., Relyativistskaya kvantovaya teoriya, t. 2. Relyativistskie kvantovye polya, Nauka, M., 1978, 408 pp. | MR

[24] Sveshnikov K. A., Preobrazovanie N. N. Bogolyubova dlya gruppy Puankare, Preprint IFVE OTF 82-32, Serpukhov, 1982 | MR

[25] Steinmann O., Nucl Phys. B, 145:1 (1978), 141–165 | DOI | MR

[26] Steinmann O., Nucl Phys. B, 131:3 (1977), 459–476 | DOI | MR

[27] Takhtadzhyan L. A., Faddeev L. D., TMF, 21:2 (1974), 160–174

[28] Teoriya solitonov: Metod obratnoi zadachi, ed. S. P. Novikov, Nauka, M., 1980, 320 pp. | MR

[29] Sveshnikov K. A., Kvaziklassicheskii $LSZ$-formalizm i rasseyanie solitonov, Preprint IFVE OTF 82-80, Serpukhov, 1982

[30] Korepin V. E., TMF, 34:1 (1978), 3–14 | MR

[31] Jaekel M. T., Nucl. Phys. B, 118:4 (1977), 506–535 | DOI

[32] Sveshnikov K. A., Kovariantnaya teoriya vozmuschenii v okrestnosti klassicheskogo resheniya, Preprint IFVE OTF 82-79, Serpukhov, 1982

[33] Sveshnikov K. A., Kovariantnoe kanonicheskoe kvantovanie i operatornye svyazi Diraka, Preprint IFVE OTF 82-36, Serpukhov, 1982