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6 papers · 2 filters
The 8-vertex model with quasi-periodic boundary conditions
G. Niccoli, V. Terras
We study the inhomogeneous 8-vertex model (or equivalently the XYZ Heisenberg spin-1/2 chain) with all kinds of integrable quasi-periodic boundary conditions: periodic, -twist…
On condensation properties of Bethe roots associated with the XXZ chain
K. K. Kozlowski
I prove that the Bethe roots describing either the ground state or a certain class of "particle-hole" excited states of the XXZ spin- chain in any sector with magnetisation $\…
Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
D. Levy-Bencheton, G. Niccoli, V. Terras
We pursue our study of the antiperiodic dynamical 6-vertex model using Sklyanin's separation of variables approach, allowing in the model new possible global shifts of the dynamica…
On determinant representations of scalar products and form factors in the SoV approach: the XXX case
N. Kitanine, J. M. Maillet, G. Niccoli +1
In the present article we study the form factors of quantum integrable lattice models solvable by the separation of variables (SoV) method. It was recently shown that these models…
Duality between Spin networks and the 2D Ising model
Valentin Bonzom, Francesco Costantino, Etera R. Livine
The goal of this paper is to exhibit a deep relation between the partition function of the Ising model on a planar trivalent graph and the generating series of the spin network eva…
Microscopic approach to a class of 1D quantum critical models
K. K. Kozlowski, J. -M. Maillet
Starting from the finite volume form factors of local operators, we show how and under which hypothesis the free boson conformal field theory in two-dimensions emerges as an…