{ "id": "hep-th/9806221", "version": "v2", "published": "1998-06-27T10:45:14.000Z", "updated": "1998-07-01T09:37:25.000Z", "title": "Classical Aspects of the Abelian Higgs Model on the Light Front", "authors": [ "K. Itakura", "S. Maedan", "M. Tachibana" ], "comment": "10 pages, reference modified", "journal": "Phys.Lett. B442 (1998) 217-222", "doi": "10.1016/S0370-2693(98)01228-3", "categories": [ "hep-th" ], "abstract": "We investigate canonical structure of the Abelian Higgs model within the framework of DLCQ. Careful boundary analysis of differential equations, such as the Euler-Lagrange equations, leads us to a novel situation where the canonical structure changes in a drastic manner depending on whether the (light-front) spatial Wilson line is periodic or not. In the former case, the gauge-field ZM takes discrete values and we obtain the so-called ``Zero-Mode Constraints'' (ZMCs), whose semiclassical solutions give a nonzero vev to the scalar fields. Contrary, in the latter case, we have no ZMC and the scalar ZMs remain dynamical as well as the gauge-field ZM. In order to give classically nonzero vev to the scalar field, we work in a background field which minimizes the light-front energy.", "revisions": [ { "version": "v2", "updated": "1998-07-01T09:37:25.000Z" } ], "analyses": { "keywords": [ "abelian higgs model", "light front", "classical aspects", "scalar field", "gauge-field zm" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 472494 } } }