Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\Delta \leq 1 and 1<\Delta. In particular, adjacent four-point correlation functions were given as certain four-dimensional integrals. We show that these integrals can be reduced to polynomials with respect to specific one-dimensional integrals. The results give the polynomial representation of the third-neighbor correlation functions.
Keywords
Cite
@article{arxiv.cond-mat/0402625,
title = {Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain},
author = {Go Kato and Masahiro Shiroishi and Minoru Takahashi and Kazumitsu Sakai},
journal= {arXiv preprint arXiv:cond-mat/0402625},
year = {2008}
}
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34 pages