{
  "id": "0705.1017",
  "version": "v3",
  "published": "2007-05-08T00:25:28.000Z",
  "updated": "2008-05-12T15:18:41.000Z",
  "title": "Invariants from classical field theory",
  "authors": [
    "Rafael Diaz",
    "Lorenzo Leal"
  ],
  "comment": "20 pages, 1 figure, to appear in J. Math. Phys",
  "journal": "J.Math.Phys.49:062901,2008",
  "doi": "10.1063/1.2937075",
  "categories": [
    "math-ph",
    "hep-th",
    "math.AT",
    "math.MP"
  ],
  "abstract": "We introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. Applying our methods to several field theories such as abelian BF, Chern-Simons and 2-dimensional Yang-Mills theory, we obtain, respectively, the linking number for embedded submanifolds in compact varieties, the Gauss' and the second Milnor's invariant for links in S^3, and invariants under area-preserving diffeomorphisms for configurations of immersed planar curves.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-12T15:18:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical field theory",
      "classical field theories depending",
      "generates invariant functions",
      "second milnors invariant",
      "external parameters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2008,
      "month": "Jun",
      "volume": 49,
      "number": 6,
      "pages": "062901"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 750266,
      "adsabs": "2008JMP....49f2901D"
    }
  }
}