English

The zero-curvature representation for nonlinear O(3) sigma-model

High Energy Physics - Theory 2007-05-23 v1

Abstract

We consider O(3) sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-curvature equation which admits the fundamental Poisson bracket.

Cite

@article{arxiv.hep-th/9403101,
  title  = {The zero-curvature representation for nonlinear O(3) sigma-model},
  author = {A. G. Bytsko},
  journal= {arXiv preprint arXiv:hep-th/9403101},
  year   = {2007}
}

Comments

Uppsala University preprint, 12 pages, LaTeX file

R2 v1 2026-07-22T15:49:21.630Z