{
  "id": "1909.03864",
  "version": "v1",
  "published": "2019-09-09T13:49:40.000Z",
  "updated": "2019-09-09T13:49:40.000Z",
  "title": "Solutions to the Minimization Problem Arising in a Dark Monopole Model in Gauge Field Theory",
  "authors": [
    "Xiangqin Zhang",
    "Yisong Yang"
  ],
  "comment": "24 pages, 2 figures",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The solutions are obtained as energy-minimizing static spherically symmetric field configurations of unit topological charge. We overcome the difficulty of recovering the full set of boundary conditions by a regularization method which may be applied to other more complicated problems concerning monopoles and dyons in non-Abelian gauge field theories. In a critical coupling situation, an explicit BPS solution is obtained, which may be used to provide energy estimates for non-BPS monopole solutions. In the limit of infinite Higgs coupling parameter, although no explicit construction is available, we establish an existence and uniqueness result for a monopole solution and obtain its energy bounds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-09T13:49:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34B40",
      "35J50",
      "81T13"
    ],
    "keywords": [
      "gauge field theory",
      "dark monopole model",
      "minimization problem arising",
      "spherically symmetric field configurations",
      "static spherically symmetric field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}