Fine structure of the asymptotic expansion of cyclic integrals

Details Fine structure of the asymptotic expansion of cyclic integrals Fine structure of the asymptotic expansion of cyclic integrals

2010-01-20

arxiv.org/abs/1001.3646v1

J. Math. Phys. 50, 095205 (2009)

Physics

Mathematical Physics

13 pages

Scientific paper

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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