{ "id": "0905.3912", "version": "v1", "published": "2009-05-24T17:06:39.000Z", "updated": "2009-05-24T17:06:39.000Z", "title": "On incompleteness of classical field theory", "authors": [ "G. Sardanashvily" ], "comment": "4 pages", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "Classical field theory is adequately formulated as Lagrangian theory on fibre bundles and graded manifolds. One however observes that non-trivial higher stage Noether identities and gauge symmetries of a generic reducible degenerate Lagrangian field theory fail to be defined. Therefore, such a field theory can not be quantized.", "revisions": [ { "version": "v1", "updated": "2009-05-24T17:06:39.000Z" } ], "analyses": { "keywords": [ "classical field theory", "non-trivial higher stage noether identities", "degenerate lagrangian field theory fail", "incompleteness", "reducible degenerate lagrangian field theory" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 821182, "adsabs": "2009arXiv0905.3912S" } } }