Integrable Discretizations of Chiral Models

Details Integrable Discretizations of Chiral Models Integrable Discretizations of Chiral Models

1995-12-03

arxiv.org/abs/hep-th/9512007v1

J.Phys.A29:5007-5018,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex

Scientific paper

10.1088/0305-4470/29/16/022

A construction of conservation laws for chiral models (generalized sigma-models on a two-dimensional space-time continuum using differential forms is extended in such a way that it also comprises corresponding discrete versions. This is achieved via a deformation of the ordinary differential calculus. In particular, the nonlinear Toda lattice results in this way from the linear (continuum) wave equation. The method is applied to several further examples. We also construct Lax pairs and B\"acklund transformations for the class of models considered in this work.

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