{
  "id": "1003.3809",
  "version": "v1",
  "published": "2010-03-19T15:13:46.000Z",
  "updated": "2010-03-19T15:13:46.000Z",
  "title": "Warping with dilatation symmetry and self-tuning of the cosmological constant",
  "authors": [
    "C. Wetterich"
  ],
  "comment": "28 pages",
  "journal": "Phys.Rev.D81:103508,2010",
  "doi": "10.1103/PhysRevD.81.103508",
  "categories": [
    "hep-th",
    "astro-ph.CO"
  ],
  "abstract": "We investigate consequences of an ultraviolet fixed point in quantum gravity for the cosmological constant. For this purpose we perform dimensional reduction of a general dilatation symmetric effective action $\\Gamma$ in dimension $d>4$ to an effective four-dimensional theory of gravity with a dilaton field. We find a stable flat phase in the space of extrema of $\\Gamma$ which results in a vanishing four-dimensional cosmological constant $\\Lambda$. In order to understand the self-tuning mechanism leading to $\\Lambda = 0$ we discuss in detail the most general warped geometries with maximal four-dimensional symmetry and $SO(d-4)$ isometry of internal space. While the solutions of the $d$-dimensional field equations admit singular spaces with arbitrary $\\Lambda$, the extremum condition for $\\Gamma$ imposes additional restrictions which result in $\\Lambda = 0$. In cosmology, the dilatation symmetric fixed point may only be reached for asymptotic time $t \\to \\infty$. At finite $t$ dilatation anomalies result in an effective potential and mass for the pseudo-dilaton or cosmon and in dark energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-19T15:13:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "98.80.Cq"
    ],
    "keywords": [
      "cosmological constant",
      "dilatation symmetry",
      "field equations admit singular spaces",
      "dimensional field equations admit singular",
      "general dilatation symmetric effective action"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "May",
      "volume": 81,
      "number": 10,
      "pages": 103508
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 849503,
      "adsabs": "2010PhRvD..81j3508W"
    }
  }
}