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Analytic theory of the eight-vertex model (Q2369803)

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scientific article

Language	Label	Description	Also known as
English	Analytic theory of the eight-vertex model	scientific article

Statements

scholarly article

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Analytic theory of the eight-vertex model (English)

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publication date

21 June 2007

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full work available at URL

https://arxiv.org/abs/hep-th/0609153

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zbMATH Keywords

eight-vertex model

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Bethe ansatz

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q-operator

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functional relations

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Vladimir V. Bazhanov

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Vladimir V. Mangazeev

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MaRDI profile type

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Partition function of the eight-vertex lattice model

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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Quantum inverse problem method. I

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Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation

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Integrable structure of conformal field theory. III: The Yang-Baxter relation

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Quantum integrable models and discrete classical Hirota equations

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Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))

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Completeness of the Bethe ansatz for the six- and eight-vertex models.

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New developments in the eight vertex model

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Bethe's equation is incomplete for the \(XXZ\) model at roots of unity

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Eight-vertex model and non-stationary Lamé equation

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The eight-vertex model and Painlevé VI

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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

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Quantum field theories in finite volume: Excited state energies

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Yang-Baxter equation and representation theory. I

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CRITICAL RSOS MODELS AND CONFORMAL FIELD THEORY

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Exactly solvable SOS models. Local height probabilities and theta function identities

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New developments in the eight vertex model. II: Chains of odd length

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Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz

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Simplification of thermodynamic Bethe-ansatz equations.

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Some algebraic structures connected with the Yang-Baxter equation

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Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras

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Functional equations and fusion matrices for the eight vertex model

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Functional relations and Bethe Ansatz for the \(XXZ\) chain

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Airy functions in the thermodynamic Bethe ansatz

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\(XXZ\) spin chain with the asymmetry parameter \(\Delta = -1/2\): evaluation of the simplest correlators

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Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction

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Conformal weights of RSOS lattice models and their fusion hierarchies

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FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY

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Solving \(1\)D plasmas and \(2\)D boundary problems using Jack polynomials and functional relations.

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Excited states by analytic continuation of TBA equations

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Chiral Potts model as a descendant of the six-vertex model

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The periodic Toda chain and a matrix generalization of the Bessel function recursion relations

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Baxter's<i>Q</i>-operator for the homogeneous<i>XXX</i>spin chain

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Bäcklund transformations and Baxter's \(Q\)-operator

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The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity

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The non-compact quantum dilogarithm and the Baxter equations

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Dual Baxter equations and quantization of the affine Jacobian

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Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors

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An elliptic current operator for the eight-vertex model

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Generalized Gauss decomposition of trigonometric \(R\)-matrices

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New relations in the algebra of the Baxter Q-operators

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Auxiliary matrices on both sides of the equator

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A Q-operator identity for the correlation functions of the infinite XXZ spin-chain

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Hidden Grassmann structure in the \(XXZ\) model

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Bethe equations `on the wrong side of the equator'

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Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix

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Higher-level eigenvalues of \(Q\)-operators and Schrödinger equation

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Bethe ansatz calculations for the eight-vertex model on a finite strip

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The 8-vertex model with a special value of the crossing parameter and the related \(XYZ\) spin chain

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Nuclear Physics B

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NUCLPHYSB.2006.12.021

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Sitelinks

Mathematics(1 entry)

mardi Publication:2369803

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