Geodesic
$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 3-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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A $1/N$ perturbation theory and a superdiagram technique are constructed in an explicitly supersymmetrie form for the supersymmetric chiral field (supersymmetric nonlinear $\sigma$ model). The absence of multiparticle production is demonstrated in the principal order in $1/N$ for the $2\leftrightarrow4$ scattering amplitude. Quantum equations of motion are derived and the first nontrivial quantum conservation laws are constructed. 
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     title = {$1/N$~perturbation theory and quantum conservation laws for the supersymmetric chiral {field.~I}},
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I. Ya. Aref'eva; V. K. Krivoshchekov; P. B. Medvedev. $1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a0/

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

[2] A. A. Slavnov, UFN, 124 (1978), 487 | DOI | MR

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

[4] A. Salam, J. Strathdee, Phys. Rev., D11 (1975), 1521 | MR

[5] A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, «Nauka», 1978 | MR

[6] A. M. Polyakov, Phys. Lett., 59B (1975), 79 | DOI | MR

[7] E. Witten, Harvard preprint HUTP-77/AO54, 1977

[8] P. DiVecchia, S. Ferrara, Trieste preprint, IC/77/63, 1977 | MR

[9] R. Shankar, E. Witten, Harvard preprint HUTP-77/AO76, 1977

[10] O. Alvarez, Harvard preprint HUTP-77/AO62, 1977

[11] A. M. Polyakov, Phys. Lett., B72 (1977), 224 ; I. Ya. Aref'eva, P. P. Kulish, E. R. Nissimov, S. J. Pacheva, LOMI preprint E-1-1978, Leningrad, 1978 | DOI | MR | MR

[12] L. Iagolnitzer, Preprint Sacley OPh.-T/77-130, 1977 | Zbl

[13] A. Salam, J. Strathdee, Phys. Rev., D11 (1975), 1521 | MR

[14] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR

[15] A. Salam, J. Strathdee, Nucl. Phys., B86 (1975), 142 | DOI | MR

[16] A. A. Slavnov, TEF, 22 (1975), 177 | MR | Zbl

[17] D. J. Gross, A. Neveu, Phys. Rev., D10 (1974), 3235

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

[19] W. Lang, Harvard preprint, 1976 ; G. Källen, J. Toll, J. Math. Phys., 6 (1965), 299 | MR | DOI | MR | Zbl

[20] I. Ya. Arefeva, V. E. Korepin, Pisma ZhETF, 20 (1974), 680; B. Berg, M. Karowski, H. J. Thun, Phys. Lett., 63B (1976), 63 | DOI | Zbl

[21] A. B. Zamolodchikov, Pisma ZhETF, 25 (1977), 499

[22] R. Fukuda, E. Kyriakopolos, Cern. preprint T. H. 1907-CERN, 1974

[23] K. Fujikawa, W. Lang, Nucl. Phys., B88 (1975), 77 | DOI