Correlation functions of the higher spin XXX chains

Abstract

Using the Algebraic Bethe Ansatz we consider the correlation functions of the integrable higher spin chains. We apply a method recently developed for the spin $\frac{1}{2}$ Heisenberg chain, based on the solution of the quantum inverse problem. We construct a representation for the correlation functions on a finite chain for arbitrary spin. Then we show how the string solutions of the Bethe equations can be considered in the framework of this approach in the thermodynamic limit. Finally, a multiple integral representation for the spin 1 zero temperature correlation functions is obtained in the thermodynamic limit.

LaTeX, 23 pages, replaced with a revised version

Cited by in corpus (32)

• Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• Asymptotic analysis and quantum integrable models
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• SOV approach for integrable quantum models associated to general representations on spin-1/2 chains of the 8-vertex reflection algebra
• Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
• Finite temperature correlation functions from discrete functional equations
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry
• Correlation functions of the integrable $SU(n)$ spin chain
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature
• Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
• Correlation functions of integrable $O(n)$ spin chains
• Correlation functions of the integrable spin-s chain
• Computation of dynamical correlation functions of the spin-1 Babujan-Takhtajan chain
• Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
• Coordinate Bethe Ansatz for Spin s XXX Model
• On the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models
• Current mean values in the XYZ model
• Finite size effects and 2-string deviations in the spin-1 XXZ chains
• Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry
• Creation operators for the Fateev-Zamolodchikov spin chain
• Symmetry classes of alternating sign matrices in the nineteen-vertex model
• Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions
• Analytical Bethe ansatz in gl(N) spin chains
• Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains
• Exactly Solvable Models of Interacting Spin-s Particles in one-dimension
• A tale of two Bethe ansätze
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain