4.6 Article

Non-Gaussianity from Lifshitz scalar

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2010/10/031

Keywords

alternatives to inflation; non-gaussianity; cosmological perturbation theory; quantum gravity phenomenology

Funding

  1. Mitsubishi Foundation
  2. World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
  3. [21.8966]
  4. [17740134]
  5. [19GS0219]
  6. [21111006]
  7. [21540278]

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A Lifshitz scalar with the dynamical critical exponent z = 3 obtains scale-invariant, super-horizon field fluctuations without the need of an inflationary era. Since this mechanism is due to the special scaling of the Lifshitz scalar and persists in the presence of unsuppressed self-couplings, the resulting fluctuation spectrum can deviate from a Gaussian distribution. We study the non-Gaussian nature of the Lifshitz scalar's intrinsic field fluctuations, and show that primordial curvature perturbations sourced from such field fluctuations can have large non-Gaussianity of order f(NL) = O(100), which will be detected by upcoming CMB observations. We compute the bispectrum and trispectrum of the fluctuations, and discuss their con figurations in momentum space. In particular, the bispectrum is found to take various shapes, including the local, equilateral, and orthogonal shapes. Intriguingly, all integrals in the in-in formalism can be performed analytically.

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