Reconstruction of Baxter Q-operator from Sklyanin SOV for cyclic representations of integrable quantum models

Abstract

In [1], the spectrum (eigenvalues and eigenstates) of a lattice regularizations of the Sine-Gordon model has been completely characterized in terms of polynomial solutions with certain properties of the Baxter equation. This characterization for cyclic representations has been derived by the use of the Separation of Variables (SOV) method of Sklyanin and by the direct construction of the Baxter Q-operator family. Here, we reconstruct the Baxter Q-operator and the same characterization of the spectrum by only using the SOV method. This analysis allows us to deduce the main features required for the extension to cyclic representations of other integrable quantum models of this kind of spectrum characterization.

25 pages, Version published on Nucl.Phys. B; no formula changed, some references added together with Appendix B.

References in corpus (4)

• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
• Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
• Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice

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