{
  "id": "1402.7026",
  "version": "v3",
  "published": "2014-02-27T19:14:27.000Z",
  "updated": "2019-08-01T13:48:04.000Z",
  "title": "Generalization of the Proca Action",
  "authors": [
    "Lavinia Heisenberg"
  ],
  "journal": "JCAP 1405 (2014) 015",
  "doi": "10.1088/1475-7516/2014/05/015",
  "categories": [
    "hep-th",
    "astro-ph.CO",
    "gr-qc"
  ],
  "abstract": "We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the ghost-like pathologies disappear. For this we use the degeneracy condition of the Hessian. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters and purely intrinsic vector interactions. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-03T20:44:16.000Z",
      "abstract": "We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the ghost-like pathologies disappear. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.",
      "comment": "small changes added, 14 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2019-08-01T13:48:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization",
      "vector field",
      "priori arbitrary coefficients",
      "horndeski proca action",
      "scalar galileon theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1475-7516/2014/05/015",
      "journal": "J. Cosmol. Astropart. Phys.",
      "year": 2014,
      "month": "May",
      "volume": 2014,
      "number": 5,
      "pages": "015",
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1282883,
      "adsabs": "2014JCAP...05..015H"
    }
  }
}