{ "id": "hep-th/9402103", "version": "v1", "published": "1994-02-17T16:54:31.000Z", "updated": "1994-02-17T16:54:31.000Z", "title": "Matter Fields in the Loop Representation of the Partition Function", "authors": [ "J. M. Aroca", "H. Fort" ], "comment": "6 pages, UAB-FT329/94", "categories": [ "hep-th" ], "abstract": "We present the extension of the Lagrangian $loop$ representation in such a way to introduce matter fields. The partition function of lattice compact U(1) Gauge-Higgs model is expressed as a sum over closed as much as open surfaces. These surfaces correspond to world sheets of loop-like pure electric flux excitations and open electric flux tubes carrying matter fields at their ends. There is a duality transformation between this description in terms of loop world sheets and the $topological$ representation in terms of world sheets of Nielsen-Olesen strings both closed and open joining pairs of monopoles.", "revisions": [ { "version": "v1", "updated": "1994-02-17T16:54:31.000Z" } ], "analyses": { "keywords": [ "partition function", "loop representation", "pure electric flux excitations", "flux tubes carrying matter", "tubes carrying matter fields" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "inspire": 371702, "adsabs": "1994hep.th....2103A" } } }