{
  "id": "2211.17195",
  "version": "v1",
  "published": "2022-11-30T17:40:22.000Z",
  "updated": "2022-11-30T17:40:22.000Z",
  "title": "Gauge theory on graphs",
  "authors": [
    "Shuhan Jiang"
  ],
  "comment": "15 pages,4 figures",
  "categories": [
    "math.CO",
    "hep-lat"
  ],
  "abstract": "In this paper, we provide the notions of connections, exterior covariant derivatives, and connection Laplacians on a graph. We prove a Weitzenb\\\"ock formula in this setting. We also define a discrete Yang-Mills functional and study the solutions to its Euler-Lagrange equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-30T17:40:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10"
    ],
    "keywords": [
      "gauge theory",
      "exterior covariant derivatives",
      "discrete yang-mills functional",
      "connection laplacians",
      "euler-lagrange equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}