Integrable Discretizations of Chiral Models
High Energy Physics - Theory
2008-11-26 v1 High Energy Physics - Lattice
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Cite
@article{arxiv.hep-th/9512007,
title = {Integrable Discretizations of Chiral Models},
author = {A. Dimakis and F. Mueller-Hoissen},
journal= {arXiv preprint arXiv:hep-th/9512007},
year = {2008}
}
Comments
14 pages, Latex