Free Field Representation of Quantum Affine Algebra and Form Factors in Higher Spin XXZ Model
arXiv:hep-th/9407122 · doi:10.1016/0550-3213(94)90030-2
Abstract
We consider the spin XXZ model in the antiferomagnetic regime using the free field realization of the quantum affine algebra $\uqa$ of level . We give a free field realization of the type II -vertex operator, which describes creation and annihilation of physical particles in the model. By taking a trace of the type I and the type II -vertex operators over the irreducible highest weight representation of $\uqa$, we also derive an integral formula for form factors in this model. Investigating the structure of poles, we obtain a residue formula for form factors, which is a lattice analog of the higher spin extension of the Smirnov's formula in the massive integrable quantum field theory. This result as well as the quantum deformation of the Knizhnik-Zamolodchikov equation for form factors shows a deep connection in the mathematical structure of the integrable lattice models and the massive integrable quantum field theory.
29 pages
References in corpus (8)
- Correlation Functions of the XXZ model for
- Diagonalization of the XXZ Hamiltonian by Vertex Operators
- Quantum affine symmetry in vertex models
- Free Boson Representation of -Vertex Operators and their Correlation Functions
- Deformation of the Wakimoto construction
- Free Field Representation of Quantum Affine Algebra U_q(\hat{sl}_2)
- BRST Cohomology in Quantum Affine Algebra
- Integrals of Motion and Quantum Groups
Cited by in corpus (13)
- Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
- Correlation functions of the higher spin XXX chains
- Form factors of integrable Heisenberg (higher) spin chains
- Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
- Computation of dynamical correlation functions of the spin-1 Babujan-Takhtajan chain
- Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry
- Annihilation poles of a Smirnov-type integral formula for solutions to quantum Knizhnik--Zamolodchikov equation
- Traces of intertwiners for quantum affine sl_2 and Felder-Varchenko functions
- Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
- Affine Macdonald conjectures and special values of Felder-Varchenko functions
- A -Vertex Model: Creation Algebras and Quasi-Particles I
- Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
- q-Wakimoto Modules and Integral Formulae of the Quantum Knizhnik-Zamolodchikov Equations