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

Physics – Condensed Matter

Scientific paper

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14 pages, latex+epsf, 1 figure

Scientific paper

10.1016/0550-3213(95)00263-R

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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