{
  "id": "hep-ph/9410365",
  "version": "v2",
  "published": "1994-10-25T15:40:05.000Z",
  "updated": "1995-02-03T22:24:52.000Z",
  "title": "Fermion Production in the Background of Minkowski Space Classical Solutions in Spontaneously Broken Gauge Theory",
  "authors": [
    "E. Farhi",
    "J. Goldstone",
    "S. Gutmann",
    "K. Rajagopal",
    "R. Singleton"
  ],
  "comment": "Version to be published. Argument showing that the topological charge of solutions is undefined has been strengthened and clarified. Conclusions unchanged",
  "journal": "Phys.Rev. D51 (1995) 4561-4572",
  "doi": "10.1103/PhysRevD.51.4561",
  "categories": [
    "hep-ph",
    "hep-th"
  ],
  "abstract": "We investigate fermion production in the background of Minkowski space solutions to the equations of motion of $SU(2)$ gauge theory spontaneously broken via the Higgs mechanism. First, we attempt to evaluate the topological charge $Q$ of the solutions. We find that for solutions $Q$ is not well-defined as an integral over all space-time. Solutions can profitably be characterized by the (integer-valued) change in Higgs winding number $\\Delta N_H$. We show that solutions which dissipate at early and late times and which have nonzero $\\Delta N_H$ must have at least the sphaleron energy. We show that if we couple a quantized massive chiral fermion to a classical background given by a solution, the number of fermions produced is $\\Delta N_H$, and is not related to $Q$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1995-02-03T22:24:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spontaneously broken gauge theory",
      "minkowski space classical solutions",
      "fermion production",
      "background",
      "minkowski space solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 378920
    }
  }
}