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arxiv: cond-mat/9503142 · v2 · submitted 1995-03-28 · ❄️ cond-mat · hep-th· nlin.SI· solv-int

Integro-Difference Equation for a correlation function of the spin-{1over2} Heisenberg XXZ chain

F.H.L. Essler , H. Frahm , A.R. Its , V.E.K. Korepin This is my paper
classification ❄️ cond-mat hep-thnlin.SIsolv-int
keywords fsfpfunctionchaincorrelationheisenbergintegro-differencespin-associated
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We consider the Ferromagnetic-String-Formation-Probability correlation function (FSFP) for the spin-$1\over 2$ Heisenberg XXZ chain. We construct a completely integrable system of integro-difference equations (IDE), which has the FSFP as a $\tau$-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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