Non-Gaussianity with Lagrange Multiplier Field in the Curvaton Scenario

Abstract

In this paper, we will use $\delta \mathcal{N}$-formalism to calculate the primordial curvature perturbation for the curvaton model with a Lagrange multiplier field. We calculate the non-linearity parameters $f_{NL}$ and $g_{NL}$ in the sudden-decay approximation in this kind of model, and we find that one could get a large non-Gaussinity even if the curvaton dominates the total energy density before it decays, and this property will make the curvaton model much richer. We also calculate the probability density function of the primordial curvature perturbation in the sudden-decay approximation, as well as some moments of it.

18 pages, 22 figures, v2: accepte by JCAP, refs added

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Cited by in corpus (8)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Weyl-Cartan-Weitzenböck gravity through Lagrange multiplier
• Cosmological models with Lagrange Multiplier Field
• Negative spectral index of $f_{NL}$ in the axion-type curvaton model
• G-Curvaton
• Observational constraints on a cosmological model with Lagrange multipliers
• Spectator fields and their imprints on the Cosmic Microwave Background