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Non-Gaussianity in curvaton models with nearly quadratic potentials

Kari Enqvist1,2 and Sami Nurmi2

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We consider curvaton models with potentials that depart slightly from the quadratic form. We show that although such a small departure does not significantly modify the Gaussian part of the curvature perturbation, it can have a pronounced effect on the level of non-Gaussianity. We find that unlike in the quadratic case, the limit of small non-Gaussianity, |f_{\mathrm {NL}}|\ll 1 , is quite possible even with small curvaton energy density r\ll 1 . Furthermore, non-Gaussianity does not imply any strict bounds on r, but the bounds depend on the assumptions about the higher order terms in the curvaton potential.


Keywords

cosmological perturbation theory

inflation

 

E-print Number: astro-ph/0508573

Cited: by |

Refers: to

PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

98.70.Vc Background radiations

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 10 (October 2005)

Received 6 September 2005, accepted for publication 11 October 2005

Published 25 October 2005



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