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13 papers · 2 filters
Complete spectrum of quantum integrable lattice models associated to by separation of variables
J. M. Maillet, G. Niccoli
In this paper we apply our new separation of variables approach to completely characterize the transfer matrix spectrum for quantum integrable lattice models associated to fundamen…
On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
K. K. Kozlowski
This work extracts, by means of an exact analysis, the singular behaviour of the dynamical response functions -- the Fourier transforms of dynamical two-point functions -- in the v…
Thermodynamics of the spin- Heisenberg-Ising chain at high temperatures: a rigorous approach
Frank Göhmann, Salvish Goomanee, Karol K. Kozlowski +1
This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin- chain at finite temperature . W…
Complete spectrum of quantum integrable lattice models associated to Y(gl(n)) by separation of variables
J. M. Maillet, G. Niccoli
We apply our new approach of quantum Separation of Variables (SoV) to the complete characterization of the transfer matrix spectrum of quantum integrable lattice models associated…
Deformations of Lorentzian Polyhedra: Kapovich-Millson phase space and SU(1,1) Intertwiners
Etera R. Livine
We describe the Lorentzian version of the Kapovitch-Millson phase space for polyhedra with faces. Starting with the Schwinger representation of the Lie alg…
The open XXZ spin chain in the SoV framework: scalar product of separate states
N. Kitanine, J. M. Maillet, G. Niccoli +1
In our previous paper [1] we have obtained, for the XXX spin-1/2 Heisenberg open chain, new determinant representations for the scalar products of separate states in the quantum se…