{
  "id": "1704.07756",
  "version": "v1",
  "published": "2017-04-25T15:58:52.000Z",
  "updated": "2017-04-25T15:58:52.000Z",
  "title": "SU(3) sphaleron: Numerical solution",
  "authors": [
    "F. R. Klinkhamer",
    "P. Nagel"
  ],
  "comment": "32 pages, 6 figures",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We complete the construction of the sphaleron $\\widehat{S}$ in $SU(3)$ Yang-Mills-Higgs theory with a single Higgs triplet by solving the reduced field equations numerically. The energy of the $SU(3)$ sphaleron $\\widehat{S}$ is found to be of the same order as the energy of a previously known solution, the embedded $SU(2)\\times U(1)$ sphaleron $S$. In addition, we discuss $\\widehat{S}$ in an extended $SU(3)$ Yang-Mills-Higgs theory with three Higgs triplets, where all eight gauge bosons get an equal mass in the vacuum. This extended $SU(3)$ Yang-Mills-Higgs theory may be considered as a toy model of quantum chromodynamics and we conjecture that the $\\widehat{S}$ gauge fields play a significant role in the nonperturbative dynamics of quantum chromodynamics (which does not have fundamental scalar fields but gets a mass scale from quantum effects).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-25T15:58:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical solution",
      "yang-mills-higgs theory",
      "quantum chromodynamics",
      "single higgs triplet",
      "fundamental scalar fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}