Integro-difference equation for a correlation function of the spin-1/2 Heisenberg XXZ chain

authored by

Fabian H.L. Essler, Holger Frahm, Alexander R. Its, Vladimir E. Korepin

Abstract

We consider the Ferromagnetic-String-Formation-Probability correlation function (FSFP) for the spin-1/2 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 long-distance asymptotics of the FSFP correlator in some limiting cases.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

University of Bonn
Indiana University-Purdue
Stony Brook University (SBU)

Type

Article

Journal

Nuclear Physics, Section B

Volume

446

Pages

448-460

No. of pages

13

ISSN

0550-3213

Publication date

24.07.1995

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Electronic version(s)

https://arxiv.org/abs/cond-mat/9503142 (Access: Open)
https://doi.org/10.1016/0550-3213(95)00263-R (Access: Unknown)