English

Z_2-reductions of spinor models in two dimensions

Exactly Solvable and Integrable Systems 2012-10-16 v1

Abstract

We propose new types of integrable spinor models, generalizing the well known ones of: i) Nambu-Jona-Lasinio-Vaks-Larkin models, related to SU(N); ii) the Gross-Neveu models - SP(2N); and the iii) Zakharov-Mikhailov models - SO(N). We propose a method for constructing their Lax representation and outline the spectral properties of the Lax operators.

Keywords

Cite

@article{arxiv.1210.3722,
  title  = {Z_2-reductions of spinor models in two dimensions},
  author = {V. S. Gerdjikov},
  journal= {arXiv preprint arXiv:1210.3722},
  year   = {2012}
}

Comments

15 pages, 2 figures, Submitted to "Physics of Atomic Nuclei"