Non-Gaussianity from Lifshitz Scalar

Abstract

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 configurations 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.

17 pages, 15 figures, v2: published in JCAP

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Cited by in corpus (4)

• On Classification of Models of Large Local-Type Non-Gaussianity
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Horava-Lifshitz gravity with $\lambda \to \infty$
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory