# Fine structure of the asymptotic expansion of cyclic integrals

Source: [Fine structure of the asymptotic expansion of cyclic integrals](<https://www.sota2.com/research/paper/68fa2f341e209131ce869d44>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T17:23:44.915Z

Authors: K. K. Kozlowski

Published: 2010-01-20T17:23:19.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1001.3646>)

[PDF](<https://arxiv.org/pdf/1001.3646.pdf>)