Curvaton with Polynomial Potential

Abstract

In general a weakly self-interacting curvaton field is expected and the curvaton potential takes the polynomial form. The curvaton potential can be dominated by the self-interaction term during the period of inflation if the curvaton field stays at a large vacuum expectation value. We use the $\delta \mathcal{N}$ formalism to calculate the primordial curvature perturbation in the various possible scenarios which make the curvaton model much richer.

Comments: 18 pages; a mistake in sec.2.2.2 corrected, enhancement of $g_{NL}$ in the mixed scenarion discussed, version for publication in JCAP