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Algberaic Bethe Ansatz approach to correlation functions of integrable systems: a review
Véronique Terras, ENS Lyon
This is a review of recent results concerning the computation, in the algebraic Bethe Ansatz framework, of correlation functions of integrable systems. On the simple example of the XXZ spin 1/2 Heisenberg chain, I will explain how to obtain exact representations for the form factors and correlations functions on the lattice, both in finite volume and at the thermodynamic limit. I will then explain how these representations can be used to derive the large distance asymptotic behavior of the two-point functions at the thermodynamic limit and in the critical regime of the chain. I will finally discuss how the method can be applied to more complicated models, such as the exactly solvable solid-on-solid model.