{ "id": "1001.3646", "version": "v1", "published": "2010-01-20T17:23:19.000Z", "updated": "2010-01-20T17:23:19.000Z", "title": "Fine structure of the asymptotic expansion of cyclic integrals", "authors": [ "K. K. Kozlowski" ], "comment": "13 pages", "journal": "J. Math. Phys. 50, 095205 (2009)", "categories": [ "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2010-01-20T17:23:19.000Z" } ], "analyses": { "subjects": [ "02.30.Sa", "02.30.Rz" ], "keywords": [ "asymptotic expansion", "fine structure", "symmetric function", "long-distance asymptotic behavior", "dimensional cyclic integrals" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "doi": "10.1063/1.3142362", "year": 2009, "month": "Sep", "volume": 50, "number": 9, "pages": 5205 }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009JMP....50i5205K" } } }