Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain
Mathematical Physics
2009-10-31 v3 Statistical Mechanics
High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
Abstract
The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of the QTM and derive the functional relations among them (T-system) and their certain combinations (Y-system). Their analytical property leads to the non-linear integral equations which describe the free energy and the correlation length at any finite temperatures. With regard to the free energy, they coincide with the TBA equation (math-ph/9911010, Mod. Phys. Lett. A, 14, 2427 (1999)) based on the string hypothesis.
Keywords
Cite
@article{arxiv.math-ph/9912014,
title = {Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain},
author = {Kazumitsu Sakai and Zengo Tsuboi},
journal= {arXiv preprint arXiv:math-ph/9912014},
year = {2009}
}
Comments
26 pages, 6 Postscript figures. A phase factor in Eq. (5.3) is corrected