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TMF, 1979, Volume 40, Number 1, Pages 3–14 (Mi tmf2789)  

This article is cited in 5 scientific papers (total in 5 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


Abstract:$1/N$ 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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English version:
Theoretical and Mathematical Physics, 1979, 40:1, 565–572

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Document Type: Article
Received: 05.07.1978

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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\paper $1/N$~perturbation theory and quantum conservation laws for the supersymmetric chiral field.~I
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\yr 1979
\vol 40
\issue 1
\pages 3--14
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\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 40
\issue 1
\pages 565--572
\crossref{https://doi.org/10.1007/BF01019237}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. 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
    2. 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
    3. 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
    4. I. V. Volovich, “Supersymmetric chiral field with anomaly and its integrability”, Theoret. and Math. Phys., 63:2 (1985), 533–535  mathnet  crossref  mathscinet  isi
    5. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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