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

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

doi:10.1016/0550-3213(95)00263-R

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

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

Stony Brook University

University of Bonn
Leibniz University Hannover
Indiana University-Purdue University Indianapolis

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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.

Original language	English
Pages (from-to)	448-460
Number of pages	13
Journal	Nuclear Physics, Section B
Volume	446
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(95)00263-R
State	Published - Jul 24 1995

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title = "Integro-difference equation for a correlation function of the spin- 1 2 Heisenberg XXZ chain",

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.",

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T1 - Integro-difference equation for a correlation function of the spin- 1 2 Heisenberg XXZ chain

AU - Essler, Fabian H.L.

AU - Frahm, Holger

AU - Its, Alexander R.

AU - Korepin, Vladimir E.

PY - 1995/7/24

Y1 - 1995/7/24

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0011737410

U2 - 10.1016/0550-3213(95)00263-R

DO - 10.1016/0550-3213(95)00263-R

M3 - Article

SN - 0550-3213

VL - 446

SP - 448

EP - 460

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

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

Abstract

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