TY - JOUR

T1 - Primordial non-Gaussianities in general modified gravitational models of inflation

AU - De Felice, Antonio

AU - Tsujikawa, Shinji

PY - 2011/4

Y1 - 2011/4

N2 - We compute the three-point correlation function of primordial scalar density perturbations in a general single-field inflationary scenario, where a scalar field φ has a direct coupling with the Ricci scalar R and the Gauss-Bonnet term . Our analysis also covers the models in which the Lagrangian includes a function non-linear in the field kinetic energy X = -(∂φ)2/2, and a Galileon-type field self-interaction G(φ,X)□φ, where G is a function of φ and X. We provide a general analytic formula for the equilateral non-Gaussianity parameter f NLequil associated with the bispectrum of curvature perturbations. A quasi de Sitter approximation in terms of slow-variation parameters allows us to derive a simplified form of fNL equil convenient to constrain various inflation models observationally. If the propagation speed of the scalar perturbations is much smaller than the speed of light, the Gauss-Bonnet term as well as the Galileon-type field self-interaction can give rise to large non-Gaussianities testable in future observations. We also show that, in Brans-Dicke theory with a field potential (including f(R) gravity), fNLequil is of the order of slow-roll parameters as in standard inflation driven by a minimally coupled scalar field.

AB - We compute the three-point correlation function of primordial scalar density perturbations in a general single-field inflationary scenario, where a scalar field φ has a direct coupling with the Ricci scalar R and the Gauss-Bonnet term . Our analysis also covers the models in which the Lagrangian includes a function non-linear in the field kinetic energy X = -(∂φ)2/2, and a Galileon-type field self-interaction G(φ,X)□φ, where G is a function of φ and X. We provide a general analytic formula for the equilateral non-Gaussianity parameter f NLequil associated with the bispectrum of curvature perturbations. A quasi de Sitter approximation in terms of slow-variation parameters allows us to derive a simplified form of fNL equil convenient to constrain various inflation models observationally. If the propagation speed of the scalar perturbations is much smaller than the speed of light, the Gauss-Bonnet term as well as the Galileon-type field self-interaction can give rise to large non-Gaussianities testable in future observations. We also show that, in Brans-Dicke theory with a field potential (including f(R) gravity), fNLequil is of the order of slow-roll parameters as in standard inflation driven by a minimally coupled scalar field.

KW - cosmological perturbation theory

KW - inflation

KW - non-gaussianity

UR - http://www.scopus.com/inward/record.url?scp=79955590309&partnerID=8YFLogxK

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U2 - 10.1088/1475-7516/2011/04/029

DO - 10.1088/1475-7516/2011/04/029

M3 - Article

AN - SCOPUS:79955590309

VL - 2011

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 4

M1 - 029

ER -