Published October 2012 | Version v1
Journal article

The algebraic Bethe ansatz for scalar products in SU(3)-invariant integrable models

  • 1. Université Montpellier 2, Laboratoire Charles Coulomb, UMR 5221, F-34095 Montpellier (France)
  • 2. Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow reg. (Russian Federation)
  • 3. Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie, BP 110, F-74941 Annecy-le-Vieux Cedex (France)
  • 4. Steklov Mathematical Institute, Moscow (Russian Federation)

Description

We study SU(3)-invariant integrable models solvable by a nested algebraic Bethe ansatz. We obtain a determinant representation for the particular case of scalar products of Bethe vectors. This representation can be used for the calculation of form factors and correlation functions of the XXX SU(3)-invariant Heisenberg chain. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-5468/2012/10/P10017

Additional details

Publishing Information

Journal Title
Journal of Statistical Mechanics
Journal Volume
2012
Journal Issue
10
Journal Page Range
[25 p.]
ISSN
1742-5468

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46007584
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CORRELATION FUNCTIONS; FORM FACTORS; HEISENBERG MODEL; INTEGRAL CALCULUS; MATHEMATICAL MODELS; SCALARS; SU-3 GROUPS; VECTORS
Descriptors DEC
CRYSTAL MODELS; DIMENSIONLESS NUMBERS; FUNCTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE PROPERTIES; SU GROUPS; SYMMETRY GROUPS; TENSORS