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On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain

Abstract : We present a review of the method we have elaborated to compute the correlation functions of the XXZ spin-1/2 Heisenberg chain. This method is based on the resolution of the quantum inverse scattering problem in the algebraic Bethe Ansatz framework, and leads to a multiple integral representation of the dynamical correlation functions. We describe in particular some recent advances concerning the two-point functions: in the finite chain, they can be expressed in terms of a single multiple integral. Such a formula provides a direct analytic connection between the previously obtained multiple integral representations and the form factor expansions for the correlation functions.
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http://hal.in2p3.fr/in2p3-00025726
Contributor : Dominique Girod <>
Submitted on : Thursday, March 2, 2006 - 4:12:41 PM
Last modification on : Thursday, March 5, 2020 - 4:26:40 PM

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N. Kitanine, J.M. Maillet, N.A. Slavnov, V. Terras. On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain. 2005. ⟨in2p3-00025726⟩

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