{ "id": "1704.06799", "version": "v1", "published": "2017-04-22T13:34:08.000Z", "updated": "2017-04-22T13:34:08.000Z", "title": "Renormalization of SU(2) Yang-Mills theory with Flow Equations", "authors": [ "Alexander N. Efremov", "Riccardo Guida", "Christoph Kopper" ], "comment": "96 pages", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "We give a proof of perturbative renormalizability of SU(2) Yang--Mills theory in four-dimensional Euclidean space which is based on the Flow Equations of the renormalization group. The main motivation is to present a proof which does not make appear mathematically undefined objects (as for example dimensionally regularized generating functionals), which permits to parametrize the theory in terms of {\\it physical} renormalization conditions, and which allows to control the singularities of the correlation functions of the theory in the infrared domain. Thus a large part of the proof is dedicated to bounds on massless correlation functions.", "revisions": [ { "version": "v1", "updated": "2017-04-22T13:34:08.000Z" } ], "analyses": { "keywords": [ "yang-mills theory", "flow equations", "dimensionally regularized generating functionals", "four-dimensional euclidean space", "renormalization conditions" ], "note": { "typesetting": "TeX", "pages": 96, "language": "en", "license": "arXiv", "status": "editable" } } }