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

Vladimir E Zakharov, A. V. Mikhailov

Research output: Contribution to journalArticle

140 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)21-40
Number of pages20
JournalCommunications in Mathematical Physics
Volume74
Issue number1
DOIs
StatePublished - Feb 1980
Externally publishedYes

Fingerprint

Spinor
Integrability
Space-time
Soliton-like Solutions
Inverse Scattering Problem
Orthogonal Group
inverse scattering
Gross
Field Theory
solitary waves
Model
Invariant

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

On the integrability of classical spinor models in two-dimensional space-time. / Zakharov, Vladimir E; Mikhailov, A. V.

In: Communications in Mathematical Physics, Vol. 74, No. 1, 02.1980, p. 21-40.

Research output: Contribution to journalArticle

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