Systematic classical continuum limits of integrable spin chains and emerging novel dualities
High Energy Physics - Theory
2014-11-21 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We examine certain classical continuum long wave-length limits of prototype integrable quantum spin chains. We define the corresponding construction of classical continuum Lax operators. Our discussion starts with the XXX chain, the anisotropic Heisenberg model and their generalizations and extends to the generic isotropic and anisotropic gl_n magnets. Certain classical and quantum integrable models emerging from special "dualities" of quantum spin chains, parametrized by c-number matrices, are also presented.
Cite
@article{arxiv.1005.4605,
title = {Systematic classical continuum limits of integrable spin chains and emerging novel dualities},
author = {Jean Avan and Anastasia Doikou and Konstadinos Sfetsos},
journal= {arXiv preprint arXiv:1005.4605},
year = {2014}
}
Comments
29 pages, Latex. Two references added, a few typos corrected, version to appear in NPB