Lattice system of interacting spins in the thermodynamical limit
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
In this paper we investigate some particular spin lattice (a higher dimensional generalization of a spin chain) related to Zamolodchikov model, in the limit when both sizes of the lattice tend to infinity. An infinite set of bilinear equations, describing a distribution of eigenvalues of infinite set of mutually commuting operators, is derived. The distribution for the maximal eigenvalues is obtained explicitly. The way to obtain the excitations is discussed.
Keywords
Cite
@article{arxiv.nlin/0506022,
title = {Lattice system of interacting spins in the thermodynamical limit},
author = {S. Sergeev},
journal= {arXiv preprint arXiv:nlin/0506022},
year = {2007}
}
Comments
16 pages