Integrable quantum spin chains and their classical continuous counterparts
High Energy Physics - Theory
2011-04-22 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present certain classical continuum long wave-length limits of prototype integrable quantum spin chains, and define the corresponding construction of classical continuum Lax operators. We also provide two specific examples, i.e. the isotropic and anisotropic Heisenberg models.
Keywords
Cite
@article{arxiv.1102.0425,
title = {Integrable quantum spin chains and their classical continuous counterparts},
author = {Jean Avan and Anastasia Doikou and Konstadinos Sfetsos},
journal= {arXiv preprint arXiv:1102.0425},
year = {2011}
}
Comments
15 pages Latex. Proceedings contribution to the Corfu Summer Institute on Elementary Particle Physics and Gravity - Workshop on Non Commutative Field Theory and Gravity, 8-12 September 2010, Corfu, Greece