Loading [MathJax]/extensions/tex2jax.js

Differential equation for a correlation function of the spin-1/2 Heisenberg chain

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Organisationseinheiten

Externe Organisationen

  • Indiana University-Purdue
  • Stony Brook University (SBU)

Details

OriginalspracheEnglisch
Seiten (von - bis)694-710
Seitenumfang17
FachzeitschriftNuclear Physics, Section B
Jahrgang428
Ausgabenummer3
PublikationsstatusVeröffentlicht - 17 Okt. 1994

Abstract

We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.

ASJC Scopus Sachgebiete

Zitieren

Differential equation for a correlation function of the spin-1/2 Heisenberg chain. / Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
in: Nuclear Physics, Section B, Jahrgang 428, Nr. 3, 17.10.1994, S. 694-710.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Frahm H, Its AR, Korepin VE. Differential equation for a correlation function of the spin-1/2 Heisenberg chain. Nuclear Physics, Section B. 1994 Okt 17;428(3):694-710. doi: 10.1016/0550-3213(94)90370-0
Frahm, Holger ; Its, Alexander R. ; Korepin, Vladimir E. / Differential equation for a correlation function of the spin-1/2 Heisenberg chain. in: Nuclear Physics, Section B. 1994 ; Jahrgang 428, Nr. 3. S. 694-710.
Download
@article{4d3e742e8c2d4f05a8d81272cc373e55,
title = "Differential equation for a correlation function of the spin-1/2 Heisenberg chain",
abstract = "We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.",
author = "Holger Frahm and Its, {Alexander R.} and Korepin, {Vladimir E.}",
note = "Funding information: H.F. gratefully acknowledges the hospitality at the Institute for Theoretical Physics in Stony Brook, where much of this work was performed. This work was partially supported by the Deutsche Forschungsgemeinschaft under Grant No. Fr 737/2—1 and by the National Science Foundation (NSF) under Grant No. DMS-93 15964.",
year = "1994",
month = oct,
day = "17",
doi = "10.1016/0550-3213(94)90370-0",
language = "English",
volume = "428",
pages = "694--710",
journal = "Nuclear Physics, Section B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",

}

Download

TY - JOUR

T1 - Differential equation for a correlation function of the spin-1/2 Heisenberg chain

AU - Frahm, Holger

AU - Its, Alexander R.

AU - Korepin, Vladimir E.

N1 - Funding information: H.F. gratefully acknowledges the hospitality at the Institute for Theoretical Physics in Stony Brook, where much of this work was performed. This work was partially supported by the Deutsche Forschungsgemeinschaft under Grant No. Fr 737/2—1 and by the National Science Foundation (NSF) under Grant No. DMS-93 15964.

PY - 1994/10/17

Y1 - 1994/10/17

N2 - We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.

AB - We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.

U2 - 10.1016/0550-3213(94)90370-0

DO - 10.1016/0550-3213(94)90370-0

M3 - Article

AN - SCOPUS:0008069975

VL - 428

SP - 694

EP - 710

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 3

ER -

Von denselben Autoren