31 citations · 101 across the 7 of their papers we have counts for
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Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
G. von Gehlen, N. Iorgov, S. Pakuliak +2
We continue our investigation of the Baxter-Bazhanov-Stroganov or τ^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive…
Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
G. von Gehlen, N. Iorgov, S. Pakuliak +2
We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix…
Spectral curves and parameterizations of a discrete integrable 3-dimensional model
S. Pakuliak, S. Sergeev
We consider a discrete classical integrable model on the 3-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of the different…
Quantum relativistic Toda chain at root of unity: isospectrality, modified Q-operator and functional Bethe ansatz
S. Pakuliak, S. Sergeev
We investigate an N-state spin model called quantum relativistic Toda chain and based on the unitary finite dimensional representations of the Weyl algebra with q being N-th primit…
Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchy
S. Pakuliak, S. Sergeev
The hierarchy of the classical nonlinear integrable equations associated with relativistic Toda chain model is considered. It is formulated for the N-th powers of the quantum opera…
Relativistic Toda chain at root of unity II. Modified Q-operator
S. Pakuliak, S. Sergeev
Matrix elements of quantum intertwiner as well as the modified Q-operator for the quantum relativistic Toda chain at root of unity are constructed explicitly. Modified Q-operators…