Form factors of the XXZ Heisenberg spin-1/2 finite chain

Abstract

Form factors for local spin operators of the XXZ Heisenberg spin-1/2 finite chain are computed. Representation theory of Drinfel'd twists for the sl2 quantum affine algebra in finite dimensional modules is used to calculate scalar products of Bethe states (leading to Gaudin formula) and to solve the quantum inverse problem for local spin operators in the finite XXZ chain. Hence, we obtain the representation of the n-spin correlation functions in terms of expectation values(in ferromagnetic reference state) of the operator entries of the quantum monodromy matrix satisfying Yang-Baxter algebra. This leads to the direct calculation of the form factors of the XXZ Heisenberg spin-1/2 finite chain as determinants of usual functions of the parameters of the model. A two-point correlation function for adjacent sites is also derived using similar techniques.

30 pages, LaTeX2e

References in corpus (6)

• Correlation Functions of the XXZ model for $\Delta <-1$
• Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets
• Difference equations for the correlation functions of the eight vertex model
• Free Boson Representation of $q$-Vertex Operators and their Correlation Functions
• Form Factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration
• Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$

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