Breaking scale invariance from a singular inflaton potential

Abstract

In this paper we break the scale invariance of the primordial power spectrum of curvature perturbations of inflation. Introducing a singular behaviour due to spontaneous symmetry breaking in the inflaton potential, we obtain fully analytic expressions of scale dependent oscillation and a modulation in power on small scale in the primordial spectrum. And we give the associated cosmic microwave background and matter power spectra which we can observe now and discuss the signature of the scale dependence. We also address the possibility of whether some inflationary model with featured potential might mimic the predictions of the scale invariant power spectrum. We present some examples which illustrate such degeneracies.

20 pages, 9 figures; Discussion expanded and references added; Miscellaneous typos corrected

References in corpus (23)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• The 3D power spectrum of galaxies from the SDSS
• Hybrid Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Suppressing the lower Multipoles in the CMB Anisotropies
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• Inflationary perturbations from a potential with a step
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• The dearth of halo dwarf galaxies: is there power on short scales?
• Enhancement of superhorizon scale inflationary curvature perturbations
• Multiple inflation
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• An alternative to the cosmological 'concordance model'
• The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
• Inflationary perturbations near horizon crossing
• Multiple inflation and the WMAP 'glitches'
• Second Order General Slow-Roll Power Spectrum
• The Power Spectrum for a Multi-Component Inflaton to Second-Order Corrections in the Slow-Roll Expansion
• CDM models with a BSI steplike primordial spectrum and a cosmological constant
• Scale Dependent Spectral Index in Slow Roll Inflation
• General Slow-Roll Spectrum for Gravitational Waves
• From the Spectrum to Inflation : An Inverse Formula for the General Slow-Roll Spectrum

Cited by in corpus (51)

• Features of heavy physics in the CMB power spectrum
• On the importance of heavy fields during inflation
• Punctuated inflation and the low CMB multipoles
• New Universal Local Feature in the Inflationary Perturbation Spectrum
• BINGO: A code for the efficient computation of the scalar bi-spectrum
• Correlating features in the primordial spectra
• Generalized Slow Roll for Large Power Spectrum Features
• Effects of particle production during inflation
• The tensor-to-scalar ratio in punctuated inflation
• Constraints on large scale inhomogeneities from WMAP-5 and SDSS: confrontation with recent observations
• Probing primordial features with future galaxy surveys
• Is a step in the primordial spectral index favored by CMB data ?
• The Effective Field Theory of Inflation Models with Sharp Features
• Oscillations in the inflaton potential: Complete numerical treatment and comparison with the recent and forthcoming CMB datasets
• The scalar bi-spectrum in the Starobinsky model: The equilateral case
• Localized correlated features in the CMB power spectrum and primordial bispectrum from a transient reduction in the speed of sound
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Large and strong scale dependent bispectrum in single field inflation from a sharp feature in the mass
• On the scalar consistency relation away from slow roll
• Untangling features in the primordial spectra
• Correlating correlation functions of primordial perturbations
• Cosmic inflation in a landscape of heavy-fields
• Constraints on inflation with LSS surveys: features in the primordial power spectrum
• Searching for primordial localized features with CMB and LSS spectra
• A new mechanism to enhance primordial tensor fluctuations in single field inflation
• Planck residuals anomaly as a fingerprint of alternative scenarios to inflation
• Consistency relations for sharp features in the primordial spectra
• Lensing anomaly and oscillations in the primordial power spectrum
• Fluid Inflation
• New constraints on primordial features from the galaxy two-point correlation function
• Blue running of the primordial tensor spectrum
• A Multiple Step-like Spectrum of Primordial Perturbation
• Multiple Inflationary Stages with Varying Equation of State
• Local Features with Large Spiky non-Gaussianities during Inflation
• Primordial Power Spectrum features and $f_{NL}$ constraints
• Reheating in tachyonic inflationary models: Effects on the large scale curvature perturbations
• Delta-N formalism for the evolution of the curvature perturbations in generalized multi-field inflation
• Modular thermal inflation without slow-roll approximation
• New Solutions of the Inflationary Flow Equations
• Low-$\ell$ power suppression in punctuated inflation
• Non-Gaussianity from false vacuum inflation: Old curvaton scenario
• Searching for local features in primordial power spectrum using genetic algorithms
• Jump in fluid properties of inflationary universe to reconcile scalar and tensor spectra
• Dark energy in hybrid inflation
• Enhanced spectrum of primordial perturbations, galaxy formation and small scale structure
• From the Spectrum to Inflation: A Second Order Inverse Formula for the General Slow-Roll Spectrum
• Curvatons and inhomogeneous scenarios with deviation from slow-roll
• Shapes and features of the primordial bispectrum
• Effects of Variable Newton Constant During Inflation
• Potential reconstruction from general power spectrum in single-field inflation
• Investigating the Constraints on Primordial Features with Future Cosmic Microwave Background and Galaxy Surveys