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On the integrability of classical spinor models in two-dimensional space-time

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Abstract

Well known classical spinor relativistic-invariant two-dimensional field theory models, including the Gross-Neveu, Vaks-Larkin-Nambu-Jona-Lasinio and some other models, are shown to be integrable by means of the inverse scattering problem method. These models are shown to be naturally connected with the principal chiral fields on the symplectic, unitary and orthogonal Lie groups. The respective technique for construction of the soliton-like solutions is developed.

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Authors and Affiliations

  1. L. D. Landau Institute of Theoretical Physics, Academy of Sciences of USSR, V-334, Moscow, USSR

    V. E. Zakharov & A. V. Mikhailov

Authors
  1. V. E. Zakharov
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  2. A. V. Mikhailov
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Communicated by Ya. Sinai

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Zakharov, V.E., Mikhailov, A.V. On the integrability of classical spinor models in two-dimensional space-time. Commun.Math. Phys. 74, 21–40 (1980). https://doi.org/10.1007/BF01197576

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  • DOI: https://doi.org/10.1007/BF01197576

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