Gravitational waves and large field inflation

@article{Linde2016GravitationalWA,
  title={Gravitational waves and large field inflation},
  author={Andrei Linde},
  journal={arXiv: Cosmology and Nongalactic Astrophysics},
  year={2016},
  pages={006-006}
}
  • Andrei Linde
  • Published 30 November 2016
  • Physics
  • arXiv: Cosmology and Nongalactic Astrophysics
According to the famous Lyth bound, one can confirm large field inflation by finding tensor modes with sufficiently large tensor-to-scalar ratio $r$. Here we will try to answer two related questions: Is it possible to rule out all large field inflationary models by not finding tensor modes with $r$ above some critical value, and what can we say about the scale of inflation by measuring $r$? However, in order to answer these questions one should distinguish between two different definitions of… Expand

Figures from this paper

Lyth Bound, eternal inflation and future cosmological missions
In this paper we provide a new expression for the variation of the inflaton field $\Delta\phi$ during the horizon crossing epoch in the context of single field slow roll inflationary models. Such anExpand
Reconstruction of constant slow-roll inflation
Using the relations between the slow-roll parameters and the power spectra for the single field slow-roll inflation, we derive the scalar spectral tilt ns and the tensor to scalar ratio r for theExpand
Inflaton candidates: from string theory to particle physics
Cosmic inflation is the cornerstone of modern cosmology. In particular, following the Planck mission reports presented in 2015 regarding cosmic microwave background (CMB), there is an increasingExpand
How to produce an arbitrarily small tensor to scalar ratio
In this paper, construct a toy a model which demonstrates that large field single scalar inflation can produce an arbitrarily small scalar to tensor ratio in the window of e-foldings recoverable fromExpand
Sequestered Inflation
We construct supergravity models allowing to sequester the phenomenology of inflation from the Planckian energy scale physics. The procedure consists of two steps: At Step I we study supergravityExpand
Large and small field inflation from hyperbolic sigma models
Long standing themes in inflation include the issue of large field vs. small field inflation as well as the question what fraction of phase space leads to sufficient inflation, and furthermore isExpand
Setting initial conditions for inflation with reaction–diffusion equation
We discuss the issue of setting appropriate initial conditions for inflation. Specifically, we consider natural inflation model and discuss the fine tuning required for setting almost homogeneousExpand
Maximal supersymmetry and B-mode targets
A bstractExtending the work of Ferrara and one of the authors [1], we present dynamical cosmological models of α-attractors with plateau potentials for 3α = 1, 2, 3, 4, 5, 6, 7. These models areExpand
Reconstruction of extended inflationary potentials for attractors
Abstract.We give the procedure to reconstruct the extended inflationary potentials for attractors and use the $ \alpha$α attractor and the constant-roll model as examples to show how to reconstructExpand
Energy density, temperature, and entropy dynamics in perturbative reheating
We discuss the perturbative decay of the energy density of a non standard inflaton field $\rho_{\phi}$ and the corresponding creation of the energy density of the relativistic fields $\rho_r$ at theExpand
...
1
2
...

References

SHOWING 1-10 OF 44 REFERENCES
Universality classes of inflation
We investigate all single-field, slow-roll inflationary models whose slow-roll parameters scale as 1/N in the limit of a large number of e-folds N. We proof that all such models belong to twoExpand
Lyth bound of inflation with a tilt
We provide strong evidence for universality of the inflationary field range: given an accurate measurement of (n(s), r), one can infer Delta phi in a model-independent way in the sub-Planckian regimeExpand
Shortcomings of New Parametrizations of Inflation
In the hope of avoiding model dependence of the cosmological observables, phenomenological parametrizations of Cosmic Inflation have recently been proposed. Typically, they are expressed in terms ofExpand
Cosmological Attractors and Initial Conditions for Inflation
Inflationary $\alpha$-attractor models in supergravity, which provide excellent fits to the latest observational data, are based on the Poincare disk hyperbolic geometry. We refine these models byExpand
Hyperbolic geometry of cosmological attractors
Cosmological alpha attractors give a natural explanation for the spectral index n(s) of inflation as measured by Planck while predicting a range for the tensor-to-scalar ratio r, consistent with allExpand
Quantum cosmological perturbations: predictions and observations
I consider the generic model independent predictions of the theory of quantum cosmological perturbations. To describe the stage of cosmic inflation, where these perturbations are amplified, theExpand
Robustness of Inflation to Inhomogeneous Initial Conditions
We consider the effects of inhomogeneous initial conditions in both the scalar field profile and the extrinsic curvature on different inflationary models. In particular, we compare the robustness ofExpand
Escher in the Sky
Abstract We give a brief review of the history of inflationary theory and then concentrate on the recently discovered set of inflationary models called cosmological α-attractors. These models provideExpand
Designing density fluctuation spectra in inflation.
TLDR
The quantum generation of fluctuation spectra is calculated by numerically solving the linearized perturbation equations for multiple scalar fields, the metric, and the radiation into which the scalars dissipate, following the evolution from inside the horizon through reheating. Expand
Beginning inflation in an inhomogeneous universe
Using numerical solutions of the full Einstein field equations coupled to a scalar inflaton field in 3+1 dimensions, we study the conditions under which a universe that is initially expanding, highlyExpand
...
1
2
3
4
5
...