{ "id": "1505.04765", "version": "v1", "published": "2015-05-18T19:12:48.000Z", "updated": "2015-05-18T19:12:48.000Z", "title": "Hopf algebra and renormalization: A brief review", "authors": [ "Usman Naseer" ], "comment": "23 pages, 4 figures. This article grew out of my preparations for a class project for 8.325 at MIT", "categories": [ "math-ph", "math.MP" ], "abstract": "We briefly review the Hopf algebra structure arising in the renormalization of quantum field theories. We construct the Hopf algebra explicitly for a simple toy model and show how renormalization is achieved for this particular model.", "revisions": [ { "version": "v1", "updated": "2015-05-18T19:12:48.000Z" } ], "analyses": { "keywords": [ "brief review", "renormalization", "simple toy model", "quantum field theories", "hopf algebra structure arising" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150504765N" } } }