Factorized finite-size Ising model spin matrix elements from Separation of Variables

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

Using the Sklyanin-Kharchev-Lebedev method of Separation of Variables adapted
to the cyclic Baxter--Bazhanov--Stroganov or $\tau^{(2)}$-model, we derive
factorized formulae for general finite-size Ising model spin matrix elements,
proving a recent conjecture by Bugrij and Lisovyy.

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