Free field construction for correlation functions of the eight-vertex model

DOI10.1016/S0550-3213(98)00086-8zbMath0962.82021arXivhep-th/9710099OpenAlexW3100592142MaRDI QIDQ1382370

Yaroslav Pugai, Michael Lashkevich

Publication date: 25 March 1998

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9710099

zbMATH Keywords

spectrumvertex operatorsfree field representationcorner transfer matriceseight-vertex modelaverage staggered polarizationBaxter-Kelland formula

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism ⋮ Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI ⋮ THE MASSLESS XXZ CHAIN WITH A BOUNDARY ⋮ An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model ⋮ On form-factor expansions for the XXZ chain in the massive regime ⋮ Free field construction for the eight-vertex model: Representation for form factors ⋮ Correlation functions of the \(XYZ\) model with a boundary. ⋮ Magnetization formula in the bounded \(XYZ\) spin chain ⋮ Scalar products of Bethe vectors in the 8-vertex model ⋮ On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain ⋮ The vertex-face correspondence and the elliptic \(6j\)-symbols ⋮ Long-distance asymptotics of spin-spin correlation functions for the \(XXZ\) spin chain ⋮ Conserved currents in the six-vertex and trigonometric solid-on-solid models

Cites Work

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• Soliton equations and fundamental representations of \(A_{21}^ 2\)
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Algebra of screening operators for the deformed \(W_n\) algebra
• Free field representation for massive integrable models
• Correlation functions for the \(Z\)-invariant Ising model
• Partition function of the eight-vertex lattice model
• Bosonization of vertex operators for the -symmetric Belavin model
• Vertex operators in solvable lattice models
• Bosonization of vertex operators for the face model
• Difference equations for the correlation functions of the eight-vertex model
• Lukyanov's screening operators for the deformed Virasoro algebra
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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