Results 11 to 20 of about 7,333,366 (298)
NEW SERIES OF 3D LATTICE INTEGRABLE MODELS [PDF]
International Journal of Modern Physics A, 1994 In this paper we present a new series of three-dimensional integrable lattice models with N colors. The case N=2 generalizes the elliptic model of Ref. 8. The weight functions of the models satisfy modified tetrahedron equations with N states and give a commuting family of two-layer transfer matrices.
Mangazeev, V. V. +2 more
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Correlation Functions for Lattice Integrable Models
Acta Polytechnica, 2008 In this lectures I consider the problem of calculating the correlation functions for XXZ spin chain. First, I explain in details the free fermion case.
F. Smirnov
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Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schrödinger ...
Anjan Kundu
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Branes and categorifying integrable lattice models [PDF]
Advances in Theoretical and Mathematical Physics, 2020 19 pp. Minor improvements and typos corrected.
Ashwinkumar, Meer +2 more
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Integrable lattice models and holography [PDF]
Journal of High Energy Physics, 2021 AbstractWe study four-dimensional Chern-Simons theory onD ×ℂ (whereDis a disk), which is understood to describe rational solutions of the Yang-Baxter equation from the work of Costello, Witten and Yamazaki. We find that the theory is dual to a boundary theory, that is a three-dimensional analogue of the two-dimensional chiral WZW model.
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Integrability for multidimensional lattice models [PDF]
Physics Letters B, 1989 Abstract The generating principle for the algebraic construction of the hierarchy of the d-simplex equations generalizing the Yang-Baxter equation in any dimension d is given. Following this principle, we construct the generalization of the Lax equations for multidimensional integrable systems.
Jean Michel Maillet, Frank Nijhoff
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Microscopic conservation laws for integrable lattice models [PDF]
Monatshefte für Mathematik, 2021 22 ...
Benjamin Harrop-Griffiths +2 more
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Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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Integrability of q-oscillator lattice model [PDF]
Physics Letters A, 2006 A simple formulation of an exactly integrable $q$-oscillator model on two dimensional lattice (in 2+1 dimensional space-time) is given. Its interpretation in the terms of 2d quantum inverse scattering method and nested Bethe Ansatz equations is discussed.
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