Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. (English) Zbl 1194.82016
Nucl. Phys., B 814, No. 3, 405-438 (2009); erratum ibid. 851, No. 1, 238-243 (2011).
Summary: We derive exactly scalar products and form factors for integrable higher-spin XXZ chains through the algebraic Bethe-ansatz method. Here spin values are arbitrary and different spins can be mixed. Transforming the symmetric \(R\)-matrix into the asymmetric one that is compatible with subalgebra \(U_q(sl_{2})\) of \(U_q(\hat{sl}_{2})\), we calculate the exact expressions by the representation theory of \(U_q(sl_{2})\). The results should be fundamental for calculating form factors and correlation functions systematically for various solvable models associated with the integrable XXZ spin chains.
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82B23 | Exactly solvable models; Bethe ansatz |
| 81U20 | \(S\)-matrix theory, etc. in quantum theory |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
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