{
  "id": "1510.03043",
  "version": "v1",
  "published": "2015-10-11T12:09:32.000Z",
  "updated": "2015-10-11T12:09:32.000Z",
  "title": "The Yang-Baxter relation and gauge invariance",
  "authors": [
    "Rinat Kashaev"
  ],
  "comment": "16 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Starting from a quantum dilogarithm over a Pontryagin self-dual LCA group $A$, we construct an operator solution of the Yang-Baxter equation generalizing the solution of the Faddeev-Volkov model. Based on a specific choice of a subgroup $B\\subset A$ and by using the Weil transformation, we also give a new non-operator interpretation of the Yang-Baxter relation. That allows us to construct a lattice QFT-model of IRF-type with gauge invariance under independent $B$-translations of local `spin' variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-11T12:09:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16T25"
    ],
    "keywords": [
      "gauge invariance",
      "yang-baxter relation",
      "pontryagin self-dual lca group",
      "lattice qft-model",
      "operator solution"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/49/16/164001",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2016,
      "month": "Apr",
      "volume": 49,
      "number": 16,
      "pages": 164001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016JPhA...49p4001K",
      "inspire": 1397253
    }
  }
}