{
  "id": "2211.03424",
  "version": "v1",
  "published": "2022-11-07T10:28:21.000Z",
  "updated": "2022-11-07T10:28:21.000Z",
  "title": "Wilson lines in the lattice Higgs model at strong coupling",
  "authors": [
    "Malin P. Forsström",
    "Jonatan Lenells",
    "Fredrik Viklund"
  ],
  "comment": "48 pages, 6 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group $\\mathbb{Z}_n$. We study Wilson line observables in the strong coupling regime and compute their asymptotic behavior with error estimates. Our analysis is based on a high-temperature representation of the lattice Higgs measure combined with Poisson approximation. We also give a short proof of the folklore result that Wilson line (and loop) expectations exhibit perimeter law decay whenever the Higgs field coupling constant is positive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-07T10:28:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70S15",
      "81T13",
      "81T25",
      "82B20"
    ],
    "keywords": [
      "strong coupling",
      "4d fixed length lattice higgs",
      "fixed length lattice higgs model",
      "study wilson line observables",
      "perimeter law decay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}