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arXiv · 1509.08882

From stable to unstable anomaly-induced inflation

Tiberio de Paula Netto·Ana M. Pelinson·Ilya L. Shapiro·Alexei A. Starobinsky
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Abstract

Quantum effects derived through conformal anomaly lead to an inflationary model that can be either stable or unstable. The unstable version requires a large dimensionless coefficient of about $5\times 10^8$ in front of the $R^2$ term that results in the inflationary regime in the $R+R^2$ ("Starobinsky") model being a generic intermediate attractor. In this case the non-local terms in the effective action are practically irrelevant, and there is a 'graceful exit' to a low curvature matter-like dominated stage driven by high-frequency oscillations of $R$ -- scalarons, which later decay to pairs of all particles and antiparticles, with the amount of primordial scalar (density) perturbations required by observations. The stable version is a genuine generic attractor, so there is no exit from it. We discuss a possible transition from stable to unstable phases of inflation. It is shown that this transition is automatic if the sharp cut-off approximation is assumed for quantum corrections in the period of transition. Furthermore, we describe two different quantum mechanisms that may provide a required large $\,R^2$-term in the transition period.

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Tiberio de Paula Netto, Ana M. Pelinson, Ilya L. Shapiro, Alexei A. Starobinsky. 2016-09-21. From stable to unstable anomaly-induced inflation. https://doi.org/10.1140/epjc%2Fs10052-016-4390-4

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