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

References in corpus (81)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Quantum Gravity at a Lifshitz Point
• Generating the curvature perturbation without an inflaton
• Non-Gaussianity from Inflation: Theory and Observations
• The Effective Field Theory of Inflation
• DBI in the Sky
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Quantum Contributions to Cosmological Correlations
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Effects of Cosmological Moduli Fields on Cosmic Microwave Background
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Nongaussian Isocurvature Perturbations from Inflation
• A healthy extension of Horava gravity
• Ghost Inflation
• A new mechanism for generating density perturbations from inflation
• The shape of non-Gaussianities
• Primordial non-gaussianities in single field inflation
• Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data
• Horava-Lifshitz Cosmology
• Non-Gaussianity of the primordial perturbation in the curvaton model
• Limits on non-Gaussianities from WMAP data
• Strong coupling in Horava gravity
• Matter Bounce in Horava-Lifshitz Cosmology
• Primordial non-gaussianities from multiple-field inflation
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Non-Gaussianity in multi-field inflation
• Enhanced Non-Gaussianity from Excited Initial States
• Cosmology of the Lifshitz universe
• General Covariance in Quantum Gravity at a Lifshitz Point
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• On the consistency relation of the 3-point function in single field inflation
• Non-Gaussianity from Inflation
• Non-Gaussianity in the modulated reheating scenario
• Dark matter as integration constant in Horava-Lifshitz gravity
• Scale-invariant cosmological perturbations from Horava-Lifshitz gravity without inflation
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Inflationary models inducing non-Gaussian metric fluctuations
• Cosmological perturbations in Horava-Lifshitz theory without detailed balance
• A dynamical inconsistency of Horava gravity
• A new form of the Kerr solution
• Multi-brid inflation and non-Gaussianity
• Non-linear isocurvature perturbations and non-Gaussianities
• Rapidly-Varying Speed of Sound, Scale Invariance and Non-Gaussian Signatures
• Phenomenological Aspects of Horava-Lifshitz Cosmology
• Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity
• Non-gaussianity from the trispectrum in general single field inflation
• Non-Gaussianity beyond slow roll in multi-field inflation
• General CMB and Primordial Trispectrum Estimation
• Non-gaussianity from the inflationary trispectrum
• Large non-Gaussianity from multi-brid inflation
• Non-gaussianity from the bispectrum in general multiple field inflation
• Inflation with multiple sound speeds: a model of multiple DBI type actions and non-Gaussianities
• Curvaton with Polynomial Potential
• Caustic avoidance in Horava-Lifshitz gravity
• On the full trispectrum in single field DBI-inflation
• Primordial Non-Gaussianities of General Multiple Field Inflation
• Non-Gaussianity from isocurvature perturbations
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Multifield DBI Inflation and Non-Gaussianities
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• On the full quantum trispectrum in multi-field DBI inflation
• Multi-field DBI inflation: introducing bulk forms and revisiting the gravitational wave constraints
• Lorentz boost and non-Gaussianity in multi-field DBI-inflation
• Scale Invariant Power Spectrum in Hořava-Lifshitz Cosmology without Matter
• Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
• Oscillating Universe in Horava-Lifshitz Gravity
• Limits on Isocurvature Perturbations from Non-Gaussianity in WMAP Temperature Anisotropies
• Large scale evolution of the curvature perturbation in Horava-Lifshitz cosmology
• DBI-Curvaton
• Stellar center is dynamical in Horava-Lifshitz gravity
• Non-Gaussianity from Symmetry
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part II: the Trispectrum
• The Trispectrum in the Multi-brid Inflation
• Constraints on generating the primordial curvature perturbation and non-Gaussianity from instant preheating
• Trispectrum from Ghost Inflation
• Primordial magnetic field from non-inflationary cosmic expansion in Horava-Lifshitz gravity
• Trispectrum estimator in equilateral type non-Gaussian models

Cited by in corpus (17)

• On Classification of Models of Large Local-Type Non-Gaussianity
• Effects of parity violation on non-gaussianity of primordial gravitational waves in Hořava-Lifshitz gravity
• Nonlinear superhorizon perturbations in Horava-Lifshitz gravity
• Non-Gaussianity of scalar perturbations generated by conformal mechanisms
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Khronon inflation
• Horava-Lifshitz gravity with $\lambda \to \infty$
• Oscillating Bianchi IX Universe in Horava-Lifshitz Gravity
• Trispectrum estimation in various models of equilateral type non-Gaussianity
• Lifshitz scalar fields: one loop renormalization in curved backgrounds
• Power-counting and Renormalizability in Lifshitz Scalar Theory
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory
• Non-Gaussianity of a single scalar field in general covariant Hořava-Lifshitz gravity
• Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
• Tree-Level Unitarity and Renormalizability in Lifshitz Scalar Theory
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum