Free field construction for the eight-vertex model: Representation for form factors

DOI10.1016/S0550-3213(01)00598-3zbMath0979.82015arXivhep-th/0103144MaRDI QIDQ5951830

Michael Lashkevich

Publication date: 7 January 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0103144

zbMATH Keywords

corner transfer matricesform factorsLambda operator matrix elements

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (9)

The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism ⋮ 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 CONSTRUCTIONS FOR THE ELLIPTIC ALGEBRA $\rscr{A}_{q,p}(\widehat{sl}_2)$ AND BAXTER'S EIGHT-VERTEX MODEL ⋮ Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime ⋮ A thermal form factor series for the longitudinal two-point function of the Heisenberg–Ising chain in the antiferromagnetic massive regime ⋮ Scalar products of Bethe vectors in the 8-vertex model ⋮ Long-distance asymptotics of spin-spin correlation functions for the \(XXZ\) spin chain ⋮ Fourth-neighbour two-point functions of the XXZ chain and the fermionic basis approach

Cites Work

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• Quasi-Hopf deformations of quantum groups
• Free field construction for correlation functions of the eight-vertex model
• Correlation functions of the \(XYZ\) model with a boundary.
• Multi-point local height probabilities in the integrable RSOS model
• Partition function of the eight-vertex lattice model
• AFFINE CRYSTALS AND VERTEX MODELS
• 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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