Integro-difference equation for a correlation function of the - Heisenberg XXZ chain

1995/03/29 by Fabian H. L. Eßler, F. H. L. Essler, H. Frahm +5 · 2 citations
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-th #nlin.SI #solv-int

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

published as Nucl.Phys. B446 (1995) 448-460 · 14 pages, latex+epsf, 1 figure

arxiv created 1995/03/29 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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