{ "id": "hep-th/9204083", "version": "v1", "published": "1992-04-24T16:26:00.000Z", "updated": "1992-04-24T16:26:00.000Z", "title": "Two Dimensional Gauge Theories Revisited", "authors": [ "Edward Witten" ], "comment": "80 pp", "journal": "J.Geom.Phys.9:303-368,1992", "doi": "10.1016/0393-0440(92)90034-X", "categories": [ "hep-th" ], "abstract": "Topological gravity is equivalent to physical gravity in two dimensions in a way that is still mysterious, though by now it has been proved by Kontsevich. In this paper it is shown that a similar relation between topological and physical Yang-Mills theory holds in two dimensions; in this case, however, the relation can be explained by a direct mapping between the two path integrals. This (1) explains many strange facts about two dimensional Yang-Mills theory, like the way the partition function can be expressed exactly as a sum over classical solutions, including unstable ones; (2) makes the corresponding topological theory completely computable.", "revisions": [ { "version": "v1", "updated": "1992-04-24T16:26:00.000Z" } ], "analyses": { "keywords": [ "dimensional gauge theories", "physical yang-mills theory holds", "dimensional yang-mills theory", "dimensions", "path integrals" ], "tags": [ "journal article", "famous paper" ], "note": { "typesetting": "TeX", "pages": 80, "language": "en", "license": "arXiv", "status": "editable", "inspire": 344426 } } }