Integro-Difference Equation for a correlation function of the spin-12 Heisenberg XXZ chain
F. H. L. Essler, H. Frahm, A. R. Its, V. E. K. Korepin
Abstract
We consider the Ferromagnetic-String-Formation-Probability correlation function (FSFP) for the spin-1 2 Heisenberg XXZ chain. We construct a completely integrable system of integro-difference equations (IDE), which has the FSFP as a τ-function. We derive the associated Riemann-Hilbert problem and obtain the large distance asymptotics of the FSFP correlator in some limiting cases.
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