{ "id": "hep-th/9710176", "version": "v1", "published": "1997-10-23T08:08:49.000Z", "updated": "1997-10-23T08:08:49.000Z", "title": "Kontsevich Integral for Vassiliev Invariants from Chern-Simons Perturbation Theory in the Light-Cone Gauge", "authors": [ "J. M. F. Labastida", "Esther Perez" ], "comment": "30 pages, latex, epsf, 15 figures", "journal": "J.Math.Phys. 39 (1998) 5183-5198", "doi": "10.1063/1.532565", "categories": [ "hep-th", "math.QA", "q-alg" ], "abstract": "We analyse the structure of the perturbative series expansion of Chern-Simons gauge theory in the light-cone gauge. After introducing a regularization prescription that entails the consideration of framed knots, we present the general form of the vacuum expectation value of a Wilson loop. The resulting expression turns out to give the same framing dependence as the one obtained using non-perturbative methods and perturbative methods in covariant gauges. It also contains the Kontsevich integral for Vassiliev invariants of framed knots.", "revisions": [ { "version": "v1", "updated": "1997-10-23T08:08:49.000Z" } ], "analyses": { "subjects": [ "11.15.Bt", "02.30.Cj", "02.30.Lt" ], "keywords": [ "chern-simons perturbation theory", "vassiliev invariants", "kontsevich integral", "light-cone gauge", "chern-simons gauge theory" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 1998, "month": "Oct", "volume": 39, "number": 10, "pages": 5183 }, "note": { "typesetting": "LaTeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "inspire": 450143, "adsabs": "1998JMP....39.5183L" } } }