On correlation functions of integrable models associated to the six-vertex R-matrix

Kitanine, N.; Kozlowski, K.; Maillet, J.M.; Slavnov, N.A.; Terras, V.

doi:10.1088/1742-5468/2007/01/P01022

On correlation functions of integrable models associated to the six-vertex R-matrix

N. Kitanine
(
- Cergy-Pontoise U., LPTM
)
,
K. Kozlowski
(
- Lyon, Ecole Normale Superieure
)
,
J.M. Maillet
(
- Lyon, IPN
)
,
N.A. Slavnov
(
- Steklov Math. Inst., Moscow
)
,
V. Terras
(
- Lyon, IPN
)

Nov, 2006

21 pages

Published in:

J.Stat.Mech. 0701 (2007) P01022

e-Print:

hep-th/0611142 [hep-th]

DOI:

10.1088/1742-5468/2007/01/P01022

Report number:

LPENSL-TH-11-06

View in:

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Abstract: (arXiv)

We derive an analog of the master equation obtained recently for correlation functions of the XXZ chain for a wide class of quantum integrable systems described by the R-matrix of the six-vertex model, including in particular continuum models. This generalized master equation allows us to obtain multiple integral representations for the correlation functions of these models. We apply this method to derive the density-density correlation functions of the quantum non-linear Schrodinger model.

statistical mechanics
ferromagnet
integrability
vertex function
R-matrix
correlation function
Schroedinger equation: nonlinear
Schroedinger equation: solution
analytic properties

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On correlation functions of integrable models associated to the six-vertex R-matrix

Citations per year

On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain

Linear Antiferromagnetic Chain with Anisotropic Coupling

Antiferromagnetic Linear Chain

Two soluble models of an antiferromagnetic chain

One-dimensional chain of anisotropic spin spin interactions. 1. Proof of Bethe's hypothesis for ground state in a finite system

Quantum inverse problem method. I

Spin Correlation Functions of theX−YModel

Studies on Holonomic Quantum Fields. 1.

Holonomic Quantum Fields. II. The Riemann-hilbert Problem

HOLONOMIC QUANTUM FIELDS. 4.

HOLONOMIC QUANTUM FIELDS. 5.

Determinant Representation for time and temperature dependent correlation functions in the isotropic XY model in the transverse magnetic field

THE QUANTUM INVERSE SCATTERING METHOD APPROACH TO CORRELATION FUNCTIONS

Dual Field Formulation of Quantum Integrable Models

Completely integrable equation for the quantum correlation function of nonlinear Schrödinger equation

Form factors of the XXZ Heisenberg spin- $\frac 1 2$ finite chain

Form factors of the XXZ Heisenberg spin- $\frac 1 2$ finite chain

Correlation functions of the XXZ Heisenberg spin- $\frac1 2$ chain in a magnetic field

Correlation functions of the XXZ Heisenberg spin- $\frac1 2$ chain in a magnetic field

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