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Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation | | G. von Gehlen
; N. Iorgov
; S. Pakuliak
; V. Shadura
; | | Date: |
12 Mar 2006 | | Subject: | Exactly Solvable and Integrable Systems | | Abstract: | The Baxter-Bazhanov-Stroganov model (also known as the au^(2) model) has attracted much interest because it provides a tool for solving the integrable chiral Z_N-Potts model. It can be formulated as a face spin model or via cyclic L-operators. Using the latter formulation and the Sklyanin-Kharchev-Lebedev approach, we give the explicit derivation of the eigenvectors of the component B_n(lambda) of the monodromy matrix for the fully inhomogeneous chain of finite length. For the periodic chain we obtain the Baxter T-Q-equations via separation of variables. The functional relations for the transfer matrices of the au^(2) model guarantee non-trivial solutions to the Baxter equations. For the N=2 case, which is free fermion point of a generalized Ising model, the Baxter equations are solved explicitly. | | Source: | arXiv, nlin/0603028 | | Services: | Forum | Review | PDF | Favorites | |
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