{ "id": "hep-th/0006036", "version": "v2", "published": "2000-06-05T22:05:58.000Z", "updated": "2000-11-16T20:51:16.000Z", "title": "Gauge and Topological Symmetries in the Bulk Quantization of Gauge Theories", "authors": [ "L. Baulieu", "P. A. Grassi", "D. Zwanziger" ], "comment": "June 2000. 37pp. Improved discussion of the definition of observables and derivation of the action", "journal": "Nucl.Phys. B597 (2001) 583-614", "doi": "10.1016/S0550-3213(00)00725-2", "categories": [ "hep-th", "hep-lat", "hep-ph" ], "abstract": "A gauge theory with 4 physical dimensions can be consistently expressed as a renormalizable topological quantum field theory in 5 dimensions. We extend the symmetries in the 5-dimensional framework to include not only a topological BRST operator S that encodes the invisibility of the \"bulk\" (the fifth dimension), but also a gauge BRST operator W that encodes gauge-invariance and selects observables. These symmetries provide a rich structure of Ward identities which assure the renormalizability of the theory, including non-renormalization theorems. The 5-dimensional approach considerably simplifies conceptual questions such as for instance the Gribov phenomenon and fermion doubling. A confinement scenario in the 5-dimensional framework is sketched. We detail the five-dimensional mechanism of anomalies, and we exhibit a natural lattice discretization that is free of fermion doubling.", "revisions": [ { "version": "v2", "updated": "2000-11-16T20:51:16.000Z" } ], "analyses": { "keywords": [ "gauge theory", "bulk quantization", "topological symmetries", "topological quantum field theory", "approach considerably simplifies conceptual questions" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "inspire": 528273 } } }