Integro-Difference Equation for a correlation function of the spin-$\frac{1}{2}$ Heisenberg XXZ chain

Abstract

We consider the Ferromagnetic-String-Formation-Probability correlation function (FSFP) for the spin-$\frac{1}{2}$ 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.

14 pages, latex+epsf, 1 figure

References in corpus (2)

• Correlation Function of the Spin-1/2 XXX Antiferromagnet
• Differential equation for a correlation function of the spin-$\frac{1}{2}$ Heisenberg chain

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