{
  "id": "2406.19937",
  "version": "v1",
  "published": "2024-06-28T14:05:51.000Z",
  "updated": "2024-06-28T14:05:51.000Z",
  "title": "Gauge Fixing in QFT and the Dressing Field Method",
  "authors": [
    "Mathilde Guillaud",
    "Serge Lazzarini",
    "Thierry Masson"
  ],
  "comment": "19 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "In this paper, we revisit the Dressing Field Method (DFM) in the context of Quantum (Gauge) Field Theories (QFT). In order to adapt this method to the functional path integral formalism of QFT, we depart from the usual differential geometry approach used so far to study the DFM which also allows to tackle the infinite dimension of the field spaces. Our main result is that gauge fixing is an instance of the application of the DFM. The Faddeev-Popov gauge fixing procedure and the so-called unitary gauge are revisited in light of this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-28T14:05:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dressing field method",
      "functional path integral formalism",
      "usual differential geometry approach",
      "faddeev-popov gauge fixing procedure",
      "field spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}