Heisenberg XXZ Model and Quantum Galilei Group
High Energy Physics - Theory
2009-10-22 v1
Abstract
The 1D Heisenberg spin chain with anisotropy of the XXZ type is analyzed in terms of the symmetry given by the quantum Galilei group Gamma_q(1). We show that the magnon excitations and the s=1/2, n-magnon bound states are determined by the algebra. Thus the Gamma_q(1) symmetry provides a description that naturally induces the Bethe Ansatz. The recurrence relations determined by Gamma_q(1) permit to express the energy of the n-magnon bound states in a closed form in terms of Tchebischeff polynomials.
Keywords
Cite
@article{arxiv.hep-th/9204054,
title = {Heisenberg XXZ Model and Quantum Galilei Group},
author = {F. Bonechi and E. Celeghini and R. Giachetti and E. Sorace and M. Tarlini},
journal= {arXiv preprint arXiv:hep-th/9204054},
year = {2009}
}
Comments
(pag. 10)