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

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...

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Main Authors: Essler, F, Frahm, H, Its, A, Korepin, V
Format: Journal article
Published: 1995
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author Essler, F
Frahm, H
Its, A
Korepin, V
author_facet Essler, F
Frahm, H
Its, A
Korepin, V
author_sort Essler, F
collection OXFORD
description 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. © 1995.
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spelling oxford-uuid:eaf3be6f-da5f-44a0-b1a9-51bcd8d0487b2022-03-27T11:06:01ZINTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAINJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:eaf3be6f-da5f-44a0-b1a9-51bcd8d0487bSymplectic Elements at Oxford1995Essler, FFrahm, HIts, AKorepin, VWe 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. © 1995.
spellingShingle Essler, F
Frahm, H
Its, A
Korepin, V
INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN
title INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN
title_full INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN
title_fullStr INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN
title_full_unstemmed INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN
title_short INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN
title_sort integro difference equation for a correlation function of the spin 1 2 heisenberg xxz chain
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AT frahmh integrodifferenceequationforacorrelationfunctionofthespin12heisenbergxxzchain
AT itsa integrodifferenceequationforacorrelationfunctionofthespin12heisenbergxxzchain
AT korepinv integrodifferenceequationforacorrelationfunctionofthespin12heisenbergxxzchain