Factorized finite-size Ising model spin matrix elements from separation of variables

摘要

Using the Sklyanin_Kharchev_Lebedev method of separation of variables adapted to the cyclic Baxter_Bazhanov_Stroganov or the τ~((2))-model, we derive factorized formulae for general finite-size Ising model spin matrix elements, proving a recent conjecture by Bugrij and Lisovyy.