Results 181 to 190 of about 1,573,184 (216)

ONSAGER ALGEBRA AND INTERGRABLE LATTICE MODELS

Modern Physics Letters A, 1991
We derive many integrable lattice from the Ising and superintegrable chiral Potts models using the Onsager algebra. For each of these models, we also construct a class of integrable models from the automorphisms of the Onsager algebra. The extension of the Onsager algebra and associated intergrable models are considered.
Ahn, Changrim, Shigemoto, Kazuyasu
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Generalized parafermionic theory and integrable lattice models

Physical Review Letters, 1990
Summary: We show that the criticality of integrable lattice models based on the Lie algebras \(A_ n\), \(D_ n\), \(E_ n\) can be understood as the product of certain numbers of bosonic fields and a generalized parafermionic (fractional spin) theory (GPT). We compute the central charge of the GPT using the thermodynamic Bethe ansatz approach.
openaire   +3 more sources

GENERALIZED SKLYANIN ALGEBRA AND INTEGRABLE LATTICE MODELS

International Journal of Modern Physics A, 1994
We study three properties of the ℤn⊗ℤn-symmetric lattice model; i.e. the initial condition, the unitarity and the crossing symmetry. The scalar factors appearing in the unitarity and the crossing symmetry are explicitly obtained. The [Formula: see text]-Sklyanin algebra is introduced in the natural framework of the inverse problem for this model.
openaire   +1 more source

LOCAL HAMILTONIANS FOR INTEGRABLE QUANTUM MODELS ON A LATTICE

Theoretical and Mathematical Physics, 1983
This paper discusses a method of constructing local Hamiltonians for integrable lattice models proposed by Tarasov, Takhtadzhyan, and Faddeev. The method is generalized to the case of inhomogeneous models. Another model, inhomogeneous, is considered which describes the interaction of spin impurities with a model of the type of a nonlinear lattice ...
V. O. Tarasov, L. A. Takhtadzhyan, L. D. Faddeev   +2 more
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Construction of integrable quantum lattice models through Sklyanin-like algebras

Modern Physics Letters A, 1992
A systematic approach for generation of integrable quantum lattice models exploiting the underlying Uq(2) quantum group structure as well as its multiparameter generalization is presented. We find an extension of trigonometric Sklyanin algebra and also its deformation through "symmetry breaking transformation," which after consistent bosonization (or ...
A. Kundu, B. Mallick
semanticscholar   +3 more sources

A continuous-integral method for spin lattice models

Il Nuovo Cimento A, 1978
A new method for spin lattice models is developed. An algorithm for the construction of the continuous-integral representation for the partition function is formulated. A method for finding the critical point of the two-dimensional models is developed.
E. S. Fradkin, D. M. Shteingradt
openaire   +1 more source

Integrable lattice gauge model based on soliton theory

Journal of Physics A: Mathematical and General, 1990
A gauge model Lagrangian on a three-dimensional lattice is proposed. Under certain conditions equations of motion are reduced to the Backlund transformation of Hirota's bilinear difference equation, which is solved by every solution of the Kadomtsev-Petviashvili hierarchy.
N Saitoh, S Saito
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FROM INHOMOGENEOUS SIX-VERTEX LATTICE MODELS TO CONTINUUM QUANTUM INTEGRABLE MODELS

International Journal of Modern Physics A, 1992
A method to find continuum quantum integrable systems from two-dimensional vertex models is presented. We explain the method with the example where the quantum sine-Gordon model is obtained from an inhomogeneous six-vertex model in its scaling limit. We also show that the method can be applied to other models.
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Quantum Integrable Model on (2+1)-D Lattice

Journal of the Physical Society of Japan, 1999
Summary: We construct the quantum integrable dynamical system on a \((2+1)\)-dimensional lattice. We consider the \(q\)-commuting operators on 2-D lattice as a discretization of the current algebra, and two evolution operators are explicitly defined in terms of the quantum dilogarithm function.
Inoue, Rei, Hikami, Kazuhiro
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INTEGRABLE LATTICE MODELS, GRAPHS AND MODULAR INVARIANT CONFORMAL FIELD THEORIES

International Journal of Modern Physics A, 1992
We review the construction of integrable height models attached to graphs, in connection with compact Lie groups. The continuum limit of these models yields conformally invariant field theories. A direct relation between graphs and (Kac–Moody or coset) modular invariants is proposed.
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