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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Format: | Journal article |
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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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format | Journal article |
id | oxford-uuid:eaf3be6f-da5f-44a0-b1a9-51bcd8d0487b |
institution | University of Oxford |
last_indexed | 2024-03-07T05:57:15Z |
publishDate | 1995 |
record_format | dspace |
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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