Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation

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dc.creatorvon Gehlen, G.
dc.creatorIorgov, N.
dc.creatorPakuliak, S.
dc.creatorShadura, V.
dc.date2006-03-12
dc.date.accessioned2026-07-07T09:26:15Z
dc.date.available2026-07-07T09:26:15Z
dc.descriptionThe Baxter-Bazhanov-Stroganov model (also known as the τ^(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(λ) 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 τ^(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.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/nlin/0603028
dc.identifierhttp://arxiv.org/abs/nlin/0603028
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 7257-7282
dc.identifierdoi:10.1088/0305-4470/39/23/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156687
dc.subjectExactly Solvable and Integrable Systems
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleBaxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
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