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A note on inflationary scenario with non-minimal coupling
High Energy Physics - Phenomenology · Submitted 16 Aug 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show in the frame-work of perturbation theory, that our results of spectral index and bound on no-minimal coupling parameter agree with the results obtained using the adiabatic equation of state by the earlier authors.
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The abstract, sentence by sentence
We consider first order perturbation theory for a non-minimally coupled inflaton field without assuming an adiabatic equation of state. In general perturbations in non-minimally coupled theory may be non-adiabatic. However under the slow-roll assumptions the perturbation theory may look like adiabatic one. We show in the frame-work of perturbation theory, that our results of spectral index and bound on no-minimal coupling parameter agree with the results obtained using the adiabatic equation of state by the earlier authors.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider first order perturbation theory for a non-minimally coupled inflaton field without assuming an adiabatic equation of state. | contribution 0.78 | 0.88 | 0.06 | asserted 0.94 |
| s1 | In general perturbations in non-minimally coupled theory may be non-adiabatic. | background 0.97 | 0.15 | 0.06 | hedged possibility 1.00 |
| s2 | However under the slow-roll assumptions the perturbation theory may look like adiabatic one. | background 0.40 | 0.14 | 0.11 | hedged possibility 1.00 |
| s3 | We show in the frame-work of perturbation theory, that our results of spectral index and bound on no-minimal coupling parameter agree with the results obtained using the adiabatic equation of state by the earlier authors. | result 0.98 | 0.87 | 0.80 | asserted 1.00 |
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The paper
Original abstract
We consider first order perturbation theory for a non-minimally coupled inflaton field without assuming an adiabatic equation of state. In general perturbations in non-minimally coupled theory may be non-adiabatic. However under the slow-roll assumptions the perturbation theory may look like adiabatic one. We show in the frame-work of perturbation theory, that our results of spectral index and bound on no-minimal coupling parameter agree with the results obtained using the adiabatic equation of state by the earlier authors.
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How the literature uses it
3 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Cites it as support 1 paper
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It has been demonstrated that viable scenarios of inflation for an unperturbed universe can occur with non-minimal coupling [ref] .
Conformally coupled inflation · Consequences for Inflation · 0.97
Cites it as background 1 paper
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A priori $ξ$ can take any value and it would be good if based on some physical (and/or mathematical) requirements and consistency, a range of values for $ξ$ could be identified (see [ref] , [ref] , [ref] for a clear discussion on various possibilities and restrictions; see also [ref] ).
On non-minimal coupling of the inflaton · Introduction · 0.92
What it cites · 8 sentences without a confident label
Uses data or values from 1 paper
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WMAP 7 years data suggests that $n_=0.968±0.012$ [ref] .
Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation · Spectral index: · 0.95
Compares with 1 paper
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Further one may ask the question whether the formalism used here and the “gauge-invariant" formalism presented in Refs. [ref] are equivalent?
Frame-Independent Calculation of Spectral Indices from Inflation · Spectral index: · 0.92
Cites as background 11 papers
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It should be noted that a consistent formalism of first order perturbation theory [ref] and various bound on $ξ$ [ref] has been studied by several earlier authors.
Primordial Spectral Indices from Generalized Einstein Theories · Introduction: · 0.95
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It should be noted that a consistent formalism of first order perturbation theory [ref] and various bound on $ξ$ [ref] has been studied by several earlier authors.
Frame-Independent Calculation of Spectral Indices from Inflation · Introduction: · 0.95
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One of the important class of such models that has been extensively investigated in recent time is that of a non-minimally coupled scalar fields [ref] .
Non-minimal quintessence and phantom with nearly flat potentials · Introduction: · 0.97
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