Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model

Abstract

We consider the problem of the exact computation of the correlation functions of the eight-vertex solid-on-solid model by means of the algebraic Bethe Ansatz. We compute the scalar product between a Bethe eigenstate and an arbitrary state of Bethe type and show that, in the cyclic case, it can be formulated as a single determinant of usual functions. It allows us to obtain determinant representations for finite-size form factors. By summing up over the form factors, we also give a multiple integral representation for a generating function of the two-point function.

38 pages

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Cited by in corpus (11)

• Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
• Reflection algebra and functional equations
• Scalar products of Bethe vectors in the 8-vertex model
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• Spontaneous staggered polarizations of the cyclic solid-on-solid model from algebraic Bethe Ansatz
• Current mean values in the XYZ model
• Antiperiodic XXZ chains with arbitrary spins: Complete eigenstate construction by functional equations in separation of variables
• Density matrices in integrable face models
• On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model
• New determinants in the 8VSOS model with domain-wall boundaries
• The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint