Geodesic
$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 3, pp. 306-314 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the framework of the $1/N$ perturbation theory constructed in the part I of this work, the supersymmetrical model of chiral field (the supersymmetrical nonlinear $\sigma$-model) is proved to be renormalizable. Essential role in the proof is played by the supersymmetrical quantum chirality condition. Quantum equations of motion in supersymmetrical form are derived and first nontrivial quantum conservation laws are constructed. 
@article{TMF_1980_42_3_a1,
     author = {I. Ya. Aref'eva and V. K. Krivoshchekov and P. B. Medvedev},
     title = {$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. {II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {306--314},
     year = {1980},
     volume = {42},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_42_3_a1/}
}
TY  - JOUR
AU  - I. Ya. Aref'eva
AU  - V. K. Krivoshchekov
AU  - P. B. Medvedev
TI  - $1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 306
EP  - 314
VL  - 42
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_42_3_a1/
LA  - ru
ID  - TMF_1980_42_3_a1
ER  - 
%0 Journal Article
%A I. Ya. Aref'eva
%A V. K. Krivoshchekov
%A P. B. Medvedev
%T $1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 306-314
%V 42
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1980_42_3_a1/
%G ru
%F TMF_1980_42_3_a1
I. Ya. Aref'eva; V. K. Krivoshchekov; P. B. Medvedev. $1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 3, pp. 306-314. http://geodesic.mathdoc.fr/item/TMF_1980_42_3_a1/

[1] I. Ya. Arefeva, V. K. Krivoschekov, P. B. Medvedev, TMF, 40 (1979), 3 | MR

[2] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1975 | MR

[3] P. B. Medvedev, TMF, 35 (1978), 37

[4] J. Wess, B. Zumino, Nucl. Phys., B70 (1974), 39 | DOI | MR

[5] L. Mezinchesku, V. I. Ogievetskii, UFN, 117 (1975), 637 | DOI

[6] V. K. Krivoschekov, A. A. Slavnov, B. A. Faizullaev, TMF, 26 (1976), 147 | MR

[7] O. Piguet, A. Rouet, Nucl. Phys., B99 (1975), 458 ; B108 (1976), 265 | DOI | DOI

[8] K. Hepp, Theorie de la renormalisation, Springer, 1969 ; W. Zimmerman, Commun. Math. Phys., 15 (1969), 208 ; J. Lowenstein, Commun. Math. Phys., 25 (1971), 1 ; S. A. Anikin, M. C. Polivanov, O. I. Zavialov, Fortschr. Phys., 27 (1977), 459 | MR | Zbl | DOI | MR | Zbl | DOI | MR | DOI | MR

[9] M. Gomes, J. Lowenstein, W. Zimmerman, Commun. Math. Phys., 39 (1974), 81 | DOI | MR

[10] I. Ya. Aref'eva, P. P. Kulish, E. R. Nissimov, S. F. Pacheva, LOMI preprint E-1- 1978, Leningrad, 1978

[11] I. Ya. Arefeva, TMF, 36 (1978), 24

[12] J. Lowenstein, Phys. Rev., D4 (1971), 2281; F. M. Lam, Phys. Rev., D6, 2145; (1972), 2161

[13] W. Zimmerman, Ann. Phys., 77, 536 ; (1973), 569 | DOI | MR

[14] I. Ya. Arefeva, TMF, 29 (1976), 147 ; 31 (1977), 3 | MR | MR