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

F. H. L. Essler; H. Frahm; A. R. Its; V. E. K. Korepin

doi:10.1016/0550-3213(95)00263-r

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arXiv · cond-mat/9503142

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

F. H. L. Essler·H. Frahm·A. R. Its·V. E. K. Korepin

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Abstract

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 $τ$-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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F. H. L. Essler, H. Frahm, A. R. Its, V. E. K. Korepin. 1995-03-29. Integro-Difference Equation for a correlation function of the spin-${1\over2}$ Heisenberg XXZ chain. https://doi.org/10.1016/0550-3213(95)00263-r

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