Scalar products in models with a \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: highest coefficient

DOI10.1007/s11232-014-0145-2zbMath1298.81109arXiv1311.3500OpenAlexW2071601142MaRDI QIDQ461605

Eric Ragoucy, Stanislav Pakuliak, Nikita A. Slavnov

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3500

zbMATH Keywords

scalar producthighest coefficientnested Bethe ansatz

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (5)

Asymptotic behaviour of two-point functions in multi-species models ⋮ Multiple actions of the monodromy matrix in \(\mathfrak{gl}(2|1)\)-invariant integrable models ⋮ New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains ⋮ Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation ⋮ Scalar products in models with the \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: general case

Cites Work

• Unnamed Item
• Unnamed Item
• Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
• Calculation of norms of Bethe wave functions
• Quantum inverse problem method. I
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Correlation functions of the one-dimensional Bose gas in the repulsive case.
• The quantum inverse scattering method approach to correlation functions.
• Weight functions and Drinfeld currents
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• On the universal weight function for the quantum affine algebra $U_q(\widehat {\mathfrak {gl}}_N)$
• Integral representation of the density matrix of the XXZ chain at finite temperatures
• Integral representations for correlation functions of theXXZchain at finite temperature
• On the quantum inverse scattering problem.

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