Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet
Abstract
Presented are two kinds of integral solutions to the quantum Knizhnik-Zamolodchikov equations for the 2n-point correlation functions of the Heisenberg XYZ antiferromagnet. Our first integral solution can be obtained from those for the cyclic SOS model by using the vertex-face correspondence. By the construction, the sum with respect to the local height variables k_0, k_1, >..., k_{2n} of the cyclic SOS model remains other than n-fold integral in the first solution. In order to perform those summations, we improve that to find the second integral solution of (r+1)n-fold integral for r in Z_{>1}, where r is a parameter of the XYZ model. Furthermore, we discuss the relations among our formula, Lashkevich-Pugai's formula and Shiraishi's one.
Keywords
Cite
@article{arxiv.hep-th/0206224,
title = {Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet},
author = {Yas-Hiro Quano},
journal= {arXiv preprint arXiv:hep-th/0206224},
year = {2008}
}
Comments
26 pages, LaTex2e; A reference is added and a few errors are corrected