Chaotic inflation limits for non-minimal models with a Starobinsky attractor

Abstract

We investigate inflationary attractor points by analyzing non-minimally coupled single field inflation models in two opposite limits; the `flat' limit in which the first derivative of the conformal factor is small and the `steep' limit, in which the first derivative of the conformal factor is large. We consider a subset of models that yield Starobinsky inflation in the steep conformal factor, strong coupling, limit and demonstrate that they result in chaotic inflation in the opposite flat, weak coupling, limit. The suppression of higher order powers of the inflaton field in the potential is shown to be related to the flatness condition on the conformal factor. We stress that the chaotic attractor behaviour in the weak coupling limit is of a different, less universal, character than the Starobinsky attractor. Agreement with the COBE normalisation cannot be obtained in both attractor limits at the same time and in the chaotic attractor limit the scale of inflation depends on the details of the conformal factor, contrary to the strong coupling Starobinsky attractor.

arXiv commentv2: 4 figures added, refs added, minor textual changes

References in corpus (19)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• The Standard Model Higgs boson as the inflaton
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Planck 2013 results. XXII. Constraints on inflation
• Warm Inflation
• Universality Class in Conformal Inflation
• Formalising the Slow-Roll Approximation in Inflation
• Superconformal Inflationary $\alpha$-Attractors
• A universal attractor for inflation at strong coupling
• Superconformal generalizations of the Starobinsky model
• Non-minimal Inflationary Attractors
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• The importance of being warm (during inflation)
• Multi-field Conformal Cosmological Attractors
• Large Field Inflation and Double $\alpha$-Attractors
• Starobinsky-like inflation from induced gravity
• Induced-Gravity Inflation in no-Scale Supergravity and Beyond
• Constraints in the Context of Induced-gravity Inflation
• Chaotic inflation and unitarity problem

Cited by in corpus (10)

• The Unity of Cosmological Attractors
• Planck, LHC, and $\alpha$-attractors
• Generalized Pole Inflation: Hilltop, Natural, and Chaotic Inflationary Attractors
• Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity
• Starobinsky-Type Inflation With Products of Kaehler Manifolds
• Inflation by Alignment
• Non-canonical inflation coupled to matter
• Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model
• Supergravity, $\alpha$-attractors and primordial non-Gaussianity
• An alternative attractor in gauged NJL inflation