Why scalar products in the algebraic Bethe ansatz have determinant representation
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Publication:2283424
DOI10.1007/JHEP10(2019)103zbMath1427.81053arXiv1908.00032OpenAlexW3103678900WikidataQ127031254 ScholiaQ127031254MaRDI QIDQ2283424
Samuel Belliard, Nikita A. Slavnov
Publication date: 2 January 2020
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00032
Quantum field theory on lattices (81T25) Symmetry breaking in quantum theory (81R40) Groups and algebras in quantum theory and relations with integrable systems (81R12)
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Cites Work
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- Solution of some combinatorial problems which arise in calculating correlators in exactly solvable models
- Calculation of norms of Bethe wave functions
- Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases
- Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases
- Slavnov and Gaudin-Korepin formulas for models without \({\mathrm U}(1)\) symmetry: the twisted XXX chain
- 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
- Modified algebraic Bethe ansatz: twisted XXX case
- Bethe vectors for orthogonal integrable models
- Scalar products in twisted XXX spin chain. Determinant representation
- Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
- Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz
- Scalar products of Bethe vectors in models with $\mathfrak{g}\mathfrak{l}(2|1)$ symmetry 2. Determinant representation
- Slavnov and Gaudin–Korepin formulas for models withoutU(1) symmetry: the XXX chain on the segment
- The algebraic Bethe ansatz for scalar products inSU(3)-invariant integrable models
- Form factor approach to dynamical correlation functions in critical models
- Bethe vectors ofGL(3)-invariant integrable models
- Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation
- Scalar product of twisted XXX modified Bethe vectors
- Integral representations for correlation functions of theXXZchain at finite temperature
- Boundary conditions for integrable quantum systems
- Current presentation for the super-Yangian double $ DY(\mathfrak{gl}(m\vert n))$ and Bethe vectors
- Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
- Correlation functions of the openXXZchain: I
- Off-Diagonal Bethe Ansatz for Exactly Solvable Models
- The scalar products and the norm of Bethe eigenstates for the boundary \(XXX\) Heisenberg spin-1/2 finite chain
- Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof
