INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1 2 HEISENBERG XXZ CHAIN/

Authors
ESSLER FHL FRAHM H ITS AR KOREPIN VE
Citation
Fhl. Essler et al., INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1 2 HEISENBERG XXZ CHAIN/, Nuclear physics. B, 446(3), 1995, pp. 448-460
Citations number
9
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
446
Issue
3
Year of publication
1995
Pages
448 - 460
Database
ISI
SICI code
0550-3213(1995)446:3<448:IEFACO>2.0.ZU;2-5
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 tau-function. We derive the associated Riemann -Hilbert problem and obtain the long-distance asymptotics of the FSFP correlator in some limiting cases.