THERMODYNAMIC BETHE ANSATZ EQUATION FROM FUSION HIERARCHY OF osp(1|2) INTEGRABLE SPIN CHAIN-Reference-Cited by-同舟云学术

THERMODYNAMIC BETHE ANSATZ EQUATION FROM FUSION HIERARCHY OF osp(1|2) INTEGRABLE SPIN CHAIN

Published:2000-06-20 Issue:15 Volume:15 Page:2329-2346
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

SAKAI KAZUMITSU¹,TSUBOI ZENGO¹

Affiliation:

1. c/o A. Kuniba, Institute of Physics, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153-8902, Japan

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 nonlinear 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 based on the string hypothesis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X00000963

Reference63 articles.

1. Lie superalgebras

2. Solutions of the Yang-Baxter equation

3. Integrable graded magnets

4. Trigonometric solutions of triangle equations. Simple lie superalgebras

5. Universal R-matrix of the quantum superalgebra osp(2 | 1)

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Completing the solution for the OSp(1|2) spin chain;Nuclear Physics B;2020-02

2. Finite size and finite temperature studies of the osp (1|2) spin chain;Nuclear Physics B;2017-08

3. The diluteALmodels and the Φ1,2perturbation of unitary minimal CFTs;Journal of Statistical Mechanics: Theory and Experiment;2005-01-21

4. Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case;Nuclear Physics B;2003-07

5. Nonlinear integral equations for thermodynamics of thesl(r 1) Uimin Sutherland model;Journal of Physics A: Mathematical and General;2003-01-22