{ "id": "1405.5672", "version": "v1", "published": "2014-05-22T08:57:03.000Z", "updated": "2014-05-22T08:57:03.000Z", "title": "Renormalization group and divergences", "authors": [ "Giovanni Gallavotti" ], "comment": "17 pages", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "Application of asymptotic freedom to the ultraviolet stability in Euclidean quantum field theories is revisited and illustrated through the hierarchical model making also use of a few technical developments that followed the original works of Wilson on the renormalization group.", "revisions": [ { "version": "v1", "updated": "2014-05-22T08:57:03.000Z" } ], "analyses": { "keywords": [ "renormalization group", "divergences", "euclidean quantum field theories", "ultraviolet stability", "asymptotic freedom" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s10955-014-1027-6", "journal": "Journal of Statistical Physics", "year": 2014, "month": "Jun", "pages": 126 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014JSP...tmp..126G" } } }