Fine structure of the asymptotic expansion of cyclic integrals

Abstract

The asymptotic expansion of $n$-dimensional cyclic integrals was expressed as a series of functionals acting on the symmetric function involved in the cyclic integral. In this article, we give an explicit formula for the action of these functionals on a specific class of symmetric functions. These results are necessary for the computation of the O(1) part in the long-distance asymptotic behavior of correlation functions in integrable models.

13 pages

References in corpus (5)

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• Hidden Grassmann structure in the XXZ model
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Riemann-Hilbert approach to a generalized sine kernel and applications
• On correlation functions of integrable models associated to the six-vertex R-matrix

Cited by in corpus (2)

• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model