Large curvature perturbations near horizon crossing in single-field inflation models
arXiv:0806.4541 · doi:10.1103/PhysRevD.78.063515
Abstract
We consider the examples of single-field inflation models predicting large amplitudes of the curvature perturbation power spectrum at relatively small scales. It is shown that in models with an inflationary potential of double-well type the peaks in the power spectrum, having, in maximum, the amplitude ~0.1, can exist (if parameters of the potential are chosen appropriately). It is shown also that the spectrum amplitude of the same magnitude (at large k values) is predicted in the model with the running mass potential, if the positive running, n', exists and is about 0.005 at cosmological scales. Estimates of the quantum diffusion effects during inflation in models with the running mass potential are given.
10 pages, 12 figures. In v3, minor modifications were made to match version accepted by Phys. Rev. D: length of the introduction reduced, several references added
References in corpus (9)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
- Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
- More hilltop inflation models
- Black hole formation and slow-roll inflation
- Predictions in eternal inflation
- A combined analysis of 3D Weak Lensing, Lyman-alpha forest and WMAP year three data
- On the evolution of tachyonic perturbations at super-Hubble scales
- What do WMAP and SDSS really tell about inflation?
Cited by in corpus (13)
- Primordial Black Holes as Dark Matter
- Stochastic gravitational waves associated with the formation of primordial black holes
- Constraints on the induced gravitational wave background from primordial black holes
- Anatomy of single-field inflationary models for primordial black holes
- Constraining Primordial Black Hole Formation from Single-Field Inflation
- Constraints on amplitudes of curvature perturbations from primordial black holes
- Probability of primordial black hole formation and its dependence on the radial profile of initial configurations
- Prospects of Future CMB Anisotropy Probes for Primordial Black Holes
- Primordial black holes and inflation from double-well potentials
- Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
- Growth of power spectrum due to decrease of sound speed during inflation
- Generating large primordial fluctuations in single-field inflation for PBH formation
- Multimessenger search for evaporating primordial black holes