{
  "id": "1107.0682",
  "version": "v3",
  "published": "2011-07-04T17:17:55.000Z",
  "updated": "2011-11-22T07:33:47.000Z",
  "title": "Violation of the Rotational Invariance in the CMB Bispectrum",
  "authors": [
    "Maresuke Shiraishi",
    "Shuichiro Yokoyama"
  ],
  "comment": "13 pages, 2 figures. Accepted for publication in PTP",
  "journal": "Prog. Theor. Phys. 126 (2011), 923-935",
  "doi": "10.1143/PTP.126.923",
  "categories": [
    "astro-ph.CO",
    "gr-qc",
    "hep-ph",
    "hep-th"
  ],
  "abstract": "We investigate a statistical anisotropy on the Cosmic Microwave Background (CMB) bispectrum, which can be generated from the primordial non-Gaussianity induced by quantum fluctuations of a vector field. We find new configurations in the multipole space of the CMB bispectrum given by $\\ell_1 = \\ell_2 + \\ell_3 + 2, |\\ell_2 - \\ell_3| - 2$ and their permutations, which violate the rotational invariance, such as an off-diagonal configuration in the CMB power spectrum. We also find that in a model presented by Yokoyama and Soda (2008), the amplitude of the statistically anisotropic bispectrum in the above configurations becomes as large as that in other configurations such as $\\ell_1 = \\ell_2 + \\ell_3$. As a result, it might be possible to detect these contributions in future experiments, which would give us novel information about the physics of the early Universe.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-22T07:33:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cmb bispectrum",
      "rotational invariance",
      "cosmic microwave background",
      "cmb power spectrum",
      "quantum fluctuations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Progress of Theoretical Physics",
      "year": 2011,
      "month": "Nov",
      "volume": 126,
      "number": 5,
      "pages": 923
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 916784,
      "adsabs": "2011PThPh.126..923S"
    }
  }
}