On the algebraic Bethe ansatz: periodic boundary conditions

DOI10.1088/1742-5468/2006/07/P07003zbMath1456.82288arXivnlin/0602003MaRDI QIDQ5239292

A. Lima-Santos

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0602003

zbMATH Keywords

solvable lattice modelintegrable spin chains (vertex models)quantum integrability (Bethe ansatz)algebraic structures of integrable models

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Algebraic Bethe ansatz for 19-vertex models with upper triangularK-matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nested Bethe ansatz for the \(B_N\) vertex model with open boundary conditions
• \(R\)-matrices and spectrum of vertex models based on superalgebras
• Quantum R matrix for the generalized Toda system
• The algebraic Bethe ansatz for rational braid-monoid lattice models
• The quantum inverse scattering method for Hubbard-like models.
• Analytic Bethe ansatz for fundamental representations of Yangians
• Exact solution of the \(\text{SU}_{q}(n)\)-invariant quantum spin chains
• The quantum inverse scattering method approach to correlation functions.
• OFF-SHELL BETHE ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
• SPECTRUM OF THE TRANSFER MATRIX FOR THE U_q(B_n)-INVARIANT $A_{2n}^{(2)}$ OPEN SPIN CHAIN
• TWISTED QUANTUM AFFINE ALGEBRAS AND SOLUTIONS TO THE YANG-BAXTER EQUATION
• TOWARDS THE CONSTRUCTION OF WIGHTMAN FUNCTIONS OF INTEGRABLE QUANTUM FIELD THEORIES
• Equation of state for directed percolation
• Analytical Bethe ansatz for a A_2n-1⁽²⁾, B_n⁽¹⁾, C_n⁽¹⁾, D_n⁽¹⁾quantum-algebra-invariant open spin chains
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.