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

Abstract

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

25 pages, typos corrected

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Cited by in corpus (26)

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• Scalar products in generalized models with SU(3)-symmetry
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• Complete spectrum of quantum integrable lattice models associated to Y(gl(n)) by separation of variables
• Why scalar products in the algebraic Bethe ansatz have determinant representation
• Zero modes method and form factors in quantum integrable models
• Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• On Scalar Products in Higher Rank Quantum Separation of Variables
• Reflection algebra and functional equations
• Colour-independent partition functions in coloured vertex models
• Determinant representations for form factors in quantum integrable models with GL(3)-invariant R-matrix
• Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient
• Separation of variables bases for integrable $g{l}_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
• Introduction to the nested algebraic Bethe ansatz
• Scalar products and norm of Bethe vectors for integrable models based on $U_q({\widehat{\mathfrak{gl}}}_n)$
• Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Correlation functions by Separation of Variables: the XXX spin chain
• Nested Algebraic Bethe Ansatz in integrable models: recent results
• Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case
• Bethe states for the two-site Bose-Hubbard model: a binomial approach
• Determinant Form of Correlators in High Rank Integrable Spin Chains via Separation of Variables
• Scalar products and norm of Bethe vectors in ${\mathfrak{o}}_{2n+1}$ invariant integrable models
• The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint