# Analytic Correlation of Inflationary Potential to Power Spectrum Shape: Limits of Validity, and 'No-Go' for Small Field Model Analytics

@article{Wolfson2022AnalyticCO, title={Analytic Correlation of Inflationary Potential to Power Spectrum Shape: Limits of Validity, and 'No-Go' for Small Field Model Analytics}, author={Ira Wolfson}, journal={ArXiv}, year={2022}, volume={abs/2110.10557} }

The primordial power spectrum informs the possible inflationary histories of our universe. Given a power spectrum, the ensuing cosmic microwave background is calculated and compared to the observed one. Thus, one focus of modern cosmology is building well-motivated inflationary models that predict the primordial power spectrum observables. The common practice uses analytic terms for the scalar spectral index ns and the index running α, forgoing the effort required to evaluate the model…

## Figures and Tables from this paper

## References

SHOWING 1-10 OF 61 REFERENCES

Numerical Analysis of the Primordial Power Spectrum for (Small Field) Inflationary Potentials

- Physics
- 2021

We study small field models of inflation, which, against previous expectations, yield significant Gravitational Wave (GW) signal while reproducing other measured observable quantities in the Cosmic…

Small field models with gravitational wave signature supported by CMB data

- Physics, MedicinePloS one
- 2018

This study refutes previous such models built using the analytical Stewart-Lyth term, and revives the small field brand, by building models that do yield an appreciable r while conforming to known CMB observables.

Cosmic microwave background observables of small field models of inflation

- Physics
- 2010

We construct a class of single small field models of inflation that can predict, contrary to popular wisdom, an observable gravitational wave signal in the cosmic microwave background anisotropies.…

Particle physics models of inflation and the cosmological density perturbation

- Physics
- 1999

This is a review of particle-theory models of inflation, and of their predictions for the primordial density perturbation that is thought to be the origin of structure in the Universe. It contains…

On the problem of predicting inflationary perturbations

- Physics
- 1997

Abstract We examine the theoretical foundations of standard methods for computing density perturbations in inflationary models. We find that: (1) the time-delay formalism (introduced by Guth and Pi…

Non-Gaussianity from inflation: theory and observations

- Physics
- 2004

This is a review of models of inflation and of their predictions for the primordial non-Gaussianity in the density perturbations which are thought to be at the origin of structures in the Universe.…

Spontaneous Creation of Almost Scale - Free Density Perturbations in an Inflationary Universe

- Physics
- 1983

The creation and evolution of energy-density perturbations are analyzed for the "new inflationary universe" scenario proposed by Linde, and Albrecht and Steinhardt. According to the scenario, the…

Inflationary universe: A possible solution to the horizon and flatness problems

- Physics
- 1981

The standard model of hot big-bang cosmology requires initial conditions which are problematic in two ways: (1) The early universe is assumed to be highly homogeneous, in spite of the fact that…

Multiwavelength constraints on the inflationary consistency relation

- Physics
- 2015

We present the first attempt to use a combination of CMB, LIGO, and PPTA data to constrain both the tilt and the running of primordial tensor power spectrum through constraints on the gravitational…

On what scale should inflationary observables be constrained

- Physics
- 2007

We examine the choice of scale at which constraints on inflationary observables are presented. We describe an implementation of the hierarchy of inflationary consistency equations which ensures that…