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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 40, Number 1, Pages 3–14 (Mi tmf2789)  

This article is cited in 19 scientific papers (total in 19 papers)

1/N perturbation theory and quantum conservation laws for the supersymmetric chiral field. I

I. Ya. Aref'eva, V. K. Krivoshchekov, P. B. Medvedev
References:
Abstract:1/N perturbation theory and a superdiagram technique are constructed in an explicitly supersymmetrie form for the supersymmetric chiral field (supersymmetric nonlinear σ model). The absence of multiparticle production is demonstrated in the principal order in 1/N for the 24 scattering amplitude. Quantum equations of motion are derived and the first nontrivial quantum conservation laws are constructed.
Received: 05.07.1978
English version:
Theoretical and Mathematical Physics, 1979, Volume 40, Issue 1, Pages 565–572
DOI: https://doi.org/10.1007/BF01019237
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Ya. Aref'eva, V. K. Krivoshchekov, P. B. Medvedev, “1/N perturbation theory and quantum conservation laws for the supersymmetric chiral field. I”, TMF, 40:1 (1979), 3–14; Theoret. and Math. Phys., 40:1 (1979), 565–572
Citation in format AMSBIB
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\by I.~Ya.~Aref'eva, V.~K.~Krivoshchekov, P.~B.~Medvedev
\paper $1/N$~perturbation theory and quantum conservation laws for the supersymmetric chiral field.~I
\jour TMF
\yr 1979
\vol 40
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/tmf2789}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=543974}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 40
\issue 1
\pages 565--572
\crossref{https://doi.org/10.1007/BF01019237}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG40800001}
Linking options:
  • https://www.mathnet.ru/eng/tmf2789
  • https://www.mathnet.ru/eng/tmf/v40/i1/p3
    Cycle of papers
    This publication is cited in the following 19 articles:
    1. J. A. Gracey, “Large Nf quantum field theory”, Int. J. Mod. Phys. A, 33:35 (2018), 1830032  crossref
    2. Georgios Michalogiorgakis, Steven S. Gubser, “Heterotic non-linear sigma models with anti-de Sitter target spaces”, Nuclear Physics B, 757:1-2 (2006), 146  crossref
    3. Jin-Ho Cho, Phillial Oh, Jeong-Hyuck Park, “Solitons in a Grassmannian σ model coupled to a Chern-Simons term”, Phys. Rev. D, 66:2 (2002)  crossref
    4. Taichi Itoh, Phillial Oh, Cheol Ryou, “Duality and enhanced gauge symmetry in 2 + 1 dimensions”, J. Phys. A: Math. Gen., 35:4 (2002), 1025  crossref
    5. Taichi Itoh, Phillial Oh, “Higher derivative CP(N) model and quantization of the induced Chern-Simons term”, Phys. Rev. D, 63:2 (2000)  crossref
    6. J.A. Gracey, “The exact mass gap of the supersymmetric O(N) σ model”, Physics Letters B, 298:1-2 (1993), 116  crossref
    7. J.A. Gracey, “Probing the supersymmetric O(N) α-model to : Critical exponent η”, Nuclear Physics B, 348:3 (1991), 737  crossref
    8. J.A. Gracey, “Scattering amplitudes at next to leading order in the 1/(N-1) expansion of the O(N+1) supersymmetric σ-model”, Nuclear Physics B, 318:2 (1989), 375  crossref
    9. J.A. Gracey, A.J. Macfarlane, A.C. Davis, “Non-perturbative effects in the supersymmetric O(N + 1) sigma model”, Nuclear Physics B, 319:2 (1989), 439  crossref
    10. A.C. Davis, J.A. Gracey, A.J. MacFarlane, M.G. Mitchard, “Mass generation and renormalization of supersymmetric sigma-models and some other two-dimensional theories”, Nuclear Physics B, 314:2 (1989), 439  crossref
    11. J.A. Gracey, “Next to leading order scattering amplitudes in the O(N+1) supersymmetric σ model”, Physics Letters B, 216:3-4 (1989), 336  crossref
    12. A. V. Bratchikov, R. P. Grigoryan, A. A. Deriglazov, “The $1/N$ expansion in the two-dimensional supersymmetric $O(N)\times O(K)$-invariant $O(N)/O(N-K)$ model and dynamical generation of massive vector particles”, Theoret. and Math. Phys., 76:3 (1988), 925–929  mathnet  crossref  isi
    13. A.C. Davis, J.A. Gracey, A.J. Macfarlane, “Non-perturbative effects in supersymmetric sigma models”, Physics Letters B, 201:2 (1988), 251  crossref
    14. J.A. Gracey, “Exact supersymmetric S-matrices and central charges”, Nuclear Physics B, 288 (1987), 475  crossref
    15. I. V. Volovich, “Supersymmetric chiral field with anomaly and its integrability”, Theoret. and Math. Phys., 63:2 (1985), 533–535  mathnet  crossref  mathscinet  isi
    16. V. K. Krivoshchekov, P. B. Medvedev, “$1/N$ expansion in the supersymmetric $CP^{N-1}$ model”, Theoret. and Math. Phys., 58:1 (1984), 1–16  mathnet  crossref  isi
    17. P. Gaigg, M. Schweda, O. Piguet, K. Sibold, “The one‐loop effective action of the supersymmetric CP(N‐1) model”, Fortschr. Phys., 32:12 (1984), 623  crossref
    18. P. P. Kulish, S. A. Tsyplyaev, “Supersymmetric $\cos\Phi_2$ model and the inverse scattering technique”, Theoret. and Math. Phys., 46:2 (1981), 114–124  mathnet  crossref  mathscinet  isi
    19. I. Ya. Aref'eva, V. K. Krivoshchekov, P. B. Medvedev, “$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II”, Theoret. and Math. Phys., 42:2 (1980), 201–207  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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