Constructive building of the Lax pair in the non-linear sigma model

Abstract

A derivation of the Lax pair for the (1+1)-dimensional non-linear sigma-model is described. Its main benefit is to have a clearer physical origin and to allow the study of a generalization to higher dimensions.

10 pages, LaTeX2e and AMSLaTeX, no extra macros, one latex figure

References in corpus (1)

• Integrable Systems in Stringy Gravity

Cited by in corpus (1)

• Classical integrability of the O(N) nonlinear Sigma model on a half-line