{ "id": "2003.11384", "version": "v1", "published": "2020-03-25T13:17:44.000Z", "updated": "2020-03-25T13:17:44.000Z", "title": "The Ground State of the Sine-Gordon Soliton", "authors": [ "Jarah Evslin" ], "comment": "9 pages, no figures", "categories": [ "hep-th" ], "abstract": "At one loop, we provide an explicit formula for the ground state of the one-soliton sector in the Sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional $\\phi^4$ double well.", "revisions": [ { "version": "v1", "updated": "2020-03-25T13:17:44.000Z" } ], "analyses": { "keywords": [ "ground state", "sine-gordon soliton", "schrodinger wave functional", "formula readily generalizes", "sine-gordon theory" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }