THERMODYNAMIC BETHE ANSATZ EQUATION FOR osp(1|2) INTEGRABLE SPIN CHAIN

1999/11/09 by Kazumitsu Sakai, Claude Bourrely, Zengo Tsuboi +2 · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Integrable system #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #String (physics) #Superalgebra #Thermodynamic limit #Thermodynamics #cond-mat.stat-mech #hep-ph #hep-th #math-ph #math.MP #math.QA #nlin.SI #solv-int

paper · pdf · doi:10.1142/s0217732399002522

published as Mod.Phys.Lett.A21:143-150,2006 · 11 pages, 1 figure, comments and references added, to be published in Mod. Phys. Lett

openalex publication_date 1999/11/20 · arxiv created 2005/11/14 · arxiv updated 2011/07/19 · openalex created_date 2017/04/07 · openalex updated_date 2026/08/05

Abstract

The thermodynamic Bethe ansatz is applied to a quantum integrable spin chain associated with the Lie superalgebra osp (1|2). Using the string hypothesis, we derive a set of infinite number of nonlinear integral equations (thermodynamic Bethe ansatz equation), which characterize the free energy. The low temperature limit of the free energy is also discussed.

Citations

• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1∣s+1)
• Analytic Bethe ansatz and functional relations related to tensor-like representations of type-II Lie superalgebrasB(r|s) andD(r|s)
• Analytic Bethe ansatz related to the Lie superalgebra C(s)
• Algebraic Bethe ansatz for gl(2, 1) invariant 36-vertex models
• Excited State TBA and Functional Relations in Spinless Fermion Model
• Analytic Bethe ansatz related to a one-parameter family of finite-dimensional representations of the Lie superalgebra
• Analytic Bethe ansatz and functional equations for Lie superalgebra
• Lie superalgebras

Cited by

• A NOTE ON THE osp(1|2s) THERMODYNAMIC BETHE ANSATZ EQUATION