From the spectrum to inflation: a second-order inverse formula for the general slow-roll spectrum
نویسندگان
چکیده
منابع مشابه
From the Spectrum to Inflation: A Second Order Inverse Formula for the General Slow-Roll Spectrum
We invert the second order, single field, general slow-roll formula for the power spectrum, to obtain a second order formula for inflationary parameters in terms of the primordial power spectrum. ∗[email protected]
متن کاملFrom the Spectrum to Inflation : An Inverse Formula for the General Slow-Roll Spectrum
We propose a general inverse formula for extracting inflationary parameters from the power spectrum of cosmological perturbations. Under the general slow-roll scheme, which helps to probe the properties of inflation in a model independent way, we invert the leading order, single field, power spectrum formula. We also give some physically interesting examples to demonstrate its wide applicabilit...
متن کاملSecond Order General Slow-roll Power Spectrum
Recent combined results from theWilkinson Microwave Anisotropy Probe (WMAP) and Sloan Digital Sky Survey (SDSS) provide a remarkable set of data which requires more accurate and general investigation. Here we derive formulae for the power spectrum P(k) of the density perturbations produced during inflation in the general slowroll approximation with second order corrections. Also, using the resu...
متن کاملThe Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
The standard calculation of the spectrum of density perturbations produced during inflation assumes (i) |n − 1| ≪ 1 and (ii) |dn/d ln k| ≪ |n − 1|. Slow-roll predicts and observations require (i), but neither slow-roll nor observations require (ii). In this paper I derive formulae for the spectrum P, spectral index n, and running of the spectral index dn/d ln k, assuming only (i) and not (ii). ...
متن کاملThe Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
We set up a formalism that can be used to calculate the power spectrum of the curvature perturbations produced during inflation up to arbitrary order in the slowroll expansion, and explicitly calculate the power spectrum and spectral index up to second-order corrections. [email protected] [email protected]
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ژورنال
عنوان ژورنال: Journal of Cosmology and Astroparticle Physics
سال: 2006
ISSN: 1475-7516
DOI: 10.1088/1475-7516/2006/02/005