Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain
High Energy Physics - Theory
2007-05-23 v3 Statistical Mechanics
Mathematical Physics
math.MP
Number Theory
Abstract
We study XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in thermodynamics limit. We prove that for short strings the probability can be expressed in terms of Riemann zeta function with odd arguments.
Keywords
Cite
@article{arxiv.hep-th/0105144,
title = {Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain},
author = {H. E. Boos and V. E. Korepin},
journal= {arXiv preprint arXiv:hep-th/0105144},
year = {2007}
}