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Algebraic representation of correlation functions in integrable spin chains

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arxiv hep-th/0601132 v2 pith:NX7PJYCC submitted 2006-01-19 hep-th math-phmath.MPmath.QA

classification hep-thmath-phmath.MPmath.QA
keywords chainsalgebraicchaincorrelationfunctionsintegrablerepresentationspin
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Taking the XXZ chain as the main example, we give a review of an algebraic representation of correlation functions in integrable spin chains obtained recently. We rewrite the previous formulas in a form which works equally well for the physically interesting homogeneous chains. We discuss also the case of quantum group invariant operators and generalization to the XYZ chain.

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  1. Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence

    cond-mat.stat-mech 2019-08 conditional novelty 8.0 of 10

    An exact finite-volume formula for current expectation values in Bethe ansatz models is derived, proving the GHD current conjecture for interacting lattice systems.

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