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arXiv:hep-th/0601132 · Annales Henri Poincaré

Algebraic Representation of Correlation Functions in Integrable Spin Chains

Herman E. Boos, M. Jimbo, T. Miwa, Fedor Aleksandrovich Smirnov, Yoshihiro Takeyama

Published Nov 24, 2006• 66 citations
arXivHTMLPDF
DOI
10.1007/s00023-006-0285-5

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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.