{
  "id": "0803.4333",
  "version": "v1",
  "published": "2008-03-31T03:48:37.000Z",
  "updated": "2008-03-31T03:48:37.000Z",
  "title": "One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods",
  "authors": [
    "Jurgen Baacke"
  ],
  "comment": "34 pages, 5 figures",
  "journal": "Phys.Rev.D78:065039,2008",
  "doi": "10.1103/PhysRevD.78.065039",
  "categories": [
    "hep-th"
  ],
  "abstract": "The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green' function. A more elegant method for computing functional determinants, using the Gel'fand-Yaglom theorem, has been applied recently to a variety of systems. This method runs into difficulties if the background field has nontrivial topology, as is the case for the instanton in the Abelian Higgs model. A shift in thre effective centrifugal barriers makes the s-wave contribution infinite, an infinity that is compensated by the summation over the other partial waves. This requires some modifications of the Gel'fand-Yaglom method which are the main subject of this work. We present here both, the Green' s function and the Gel'fand-Yaglom method and compare the numerical results in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-31T03:48:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.27.+d",
      "11.15.Kc",
      "02.70.-c"
    ],
    "keywords": [
      "abelian higgs model",
      "greens function methods",
      "instanton transition",
      "one-loop corrections",
      "gelfand-yaglom method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2008,
      "month": "Sep",
      "volume": 78,
      "number": 6,
      "pages": "065039"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 782369,
      "adsabs": "2008PhRvD..78f5039B"
    }
  }
}