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

Abstract

The free field realization of the eight-vertex model is extended to form factors. It is achieved by constructing off-diagonal with respect to the ground state sectors matrix elements of the $\Lambda$ operator which establishes a relation between corner transfer matrices of the eight-vertex model and of the SOS model. As an example, the two-particle form factor of the ${\sigma }^z$ operator is evaluated explicitly.

26 pages, plain TeX, uses PiCTeX macros. Minor misprints corrected

Cited by in corpus (26)

• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Exact real-time longitudinal correlation functions of the massive XXZ chain
• On form-factor expansions for the XXZ chain in the massive regime
• The Vertex-Face Correspondence and Correlation Functions of the Fusion Eight-Vertex Model I: The General Formalism
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• The 8-vertex model with quasi-periodic boundary conditions
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
• Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime
• Scalar products of Bethe vectors in the 8-vertex model
• Free field constructions for the elliptic algebra ${\mathcal{A}}_{q,p}({\widehat{sl}}_2)$ and Baxter's eight-vertex model
• Correlation functions by Separation of Variables: the XXX spin chain
• Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain
• Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet
• Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime
• Thermodynamic limit of the two-spinon form factors for the zero field XXX chain
• Form factors, correlation functions and vertex operators in the eight-vertex model at reflectionless points
• Vertex operator approach for correlation functions of Belavin's (Z/nZ)-symmetric model
• Form factors of twist fields in the lattice Dirac theory
• Vertex operator approach for form factors of Belavin's $(Z/nZ)$-symmetric model
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field
• A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach
• Form factors of spin 1 analogue of the eight-vertex model