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Low power on large scales in just enough inflation models
Cosmology and Nongalactic Astrophysics · Submitted 3 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using initial conditions inside the 1-sigma interval of the best-fit cosmological parameters for the potentials, low values for the quadrupole component can be obtained.
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The abstract, sentence by sentence
An early stage of kinetic energy domination for inflation is applied to single-field quadratic and hybrid-type potentials considering only the amount of inflation necessary to solve the problems of the standard cosmological scenario. Using initial conditions inside the 1-sigma interval of the best-fit cosmological parameters for the potentials, low values for the quadrupole component can be obtained.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | An early stage of kinetic energy domination for inflation is applied to single-field quadratic and hybrid-type potentials considering only the amount of inflation necessary to solve the problems of the standard cosmological scenario. | contribution 0.61 | 0.74 | 0.12 | asserted 0.87 |
| s1 | Using initial conditions inside the 1-sigma interval of the best-fit cosmological parameters for the potentials, low values for the quadrupole component can be obtained. | result 0.98 | 0.81 | 0.60 | hedged possibility 0.69 |
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The paper
Original abstract
An early stage of kinetic energy domination for inflation is applied to single-field quadratic and hybrid-type potentials considering only the amount of inflation necessary to solve the problems of the standard cosmological scenario. Using initial conditions inside the 1-sigma interval of the best-fit cosmological parameters for the potentials, low values for the quadrupole component can be obtained.
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References
How the literature uses it
11 arXiv papers cite this in 14 sentences
Papers citing it · 9 sentences without a confident label
Cites it as support 1 paper
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Indeed, recent results in [ref] indicate that a climbing phase would lead to a dampening of the power spectrum on large scales and oscillations superimposed on it that fit relatively well the Planck 2013 data [ref] .
Kasner solutions, climbing scalars and big-bang singularity · Conclusions · 0.96
Cites it as background 4 papers
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A model that has drawn recent attention in the context of suppressing power on large scales involves a scalar field which begins its journey down the inflationary potential with the largest initial velocity possible (for the original discussion, see Ref. [ref] ; for recent discussions, see Refs. [ref] ).
Unique contributions to the scalar bispectrum in `just enough inflation' · Introduction · 0.85
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Possible origins for these effects have been studied previously [ref] , but generally in the context of the minimal “just enough” inflation.
Inflection Points and the Power Spectrum · Introduction · 0.93
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However, there is long-standing interest in “Just Enough" inflation (e.g. Refs [ref] ).
Signatures of the Very Early Universe: Inflation, Spatial Curvature and Large Scale Anomalies · Introduction · 0.82
What it cites · 17 sentences without a confident label
Builds on 1 paper
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Following previous works in which a modification of the chaotic inflation scenario [ref] is proposed to quantify the predictions of the $λϕ^4$ potential [ref] , in this work the idea is further applied to the $m^2ϕ^2$ potential and a hybrid inflation potential during the stage when there is effectively a single field leading the dynamics.
Predictions of just-enough inflation · introduction · 0.99
Uses the method or tool of 2 papers
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And an initial condition consistent with the solution of kinetic energy domination for the mode equation is also considered [ref] , [ref] : [equation] where $τ$ is conformal time defined as $dτ=dt/a(t)$, $h=a,_τ/a=aH$, $a$ the scale factor and $H_0^(2)$ is a Hankel function defined as $H_n^(2)(kτ)≡J_n(kτ)-iY_n(kτ)$, with $J_n$ and $Y_n$ Bessel functions and $n$ a positive integer.
Suppressing the lower Multipoles in the CMB Anisotropies · notation and procedure · 0.94
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The best-fit parameters are obtained by reusing the existing parameters in the publicly available CAMB [ref] and COSMOMC codes [ref] .
Cosmological parameters from CMB and other data: a Monte-Carlo approach · notation and procedure · 0.97
Compares with 2 papers
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The values of $ΔAIC$ for both potentials here are smaller than those for the $λϕ^4$ potential as seen in [ref] , the difference for the $m^2ϕ^2$ potential is the smallest of the three cases.
Predictions of just-enough inflation · results · 1.00
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The predictions and results for this case are in accordance to those found in [ref] , applied to the scenario already mentioned in [ref] , in which the form of the power spectrum does not show a significant dependence on the choice of initial conditions.
Suppressing the lower Multipoles in the CMB Anisotropies · introduction · 0.86
Cites as support 1 paper
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In accordance with the results of [ref] , initial conditions inside the 1$σ$ interval of the best-fit values for the field and $ϵ_1$ can give a significant suppression of power on the largest scales, and reproduce the value of the quadrupole at very large scales.
Predictions of just-enough inflation · discussion · 0.97
Cites as background 7 papers
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An early epoch of kinetic energy domination has been proposed as an explanation for the smaller than expected power of the low multipoles of the CMB anisotropies [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] .
Effects of a pre-inflation radiation-dominated epoch to CMB anisotropy · Low Multipoles · 0.80
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An early epoch of kinetic energy domination has been proposed as an explanation for the smaller than expected power of the low multipoles of the CMB anisotropies [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] .
The CMB Quadrupole depression produced by early fast-roll inflation: MCMC analysis of WMAP and SDSS data · Low Multipoles · 0.80
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An early epoch of kinetic energy domination has been proposed as an explanation for the smaller than expected power of the low multipoles of the CMB anisotropies [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] .
No large-angle correlations on the non-Galactic microwave sky · Low Multipoles · 0.80
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