Non-linear Matter Spectrum for a Variable Equation of State

N. Brouzakis; N. Tetradis

RECORD

Non-linear Matter Spectrum for a Variable Equation of State

N. Brouzakis, N. Tetradis

Cosmology and Nongalactic Astrophysics · Submitted 17 Feb 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim These can be used in order to distinguish theories with different late-time variability of the equation of state.

how it is stated · hedged possibility 0.70 read the record →

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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,902 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the growth of matter perturbations beyond the linear level in cosmologies in which the dark energy has a variable equation of state. The non-linear corrections result in shifts in the positions of the maximum, minima and nodes of the spectrum within the range of Baryon Acoustic Oscillations. These can be used in order to distinguish theories with different late-time variability of the equation of state.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the growth of matter perturbations beyond the linear level in cosmologies in which the dark energy has a variable equation of state.	contribution 1.00	0.90	0.06	asserted 0.80
s1	The non-linear corrections result in shifts in the positions of the maximum, minima and nodes of the spectrum within the range of Baryon Acoustic Oscillations.	result 1.00	0.81	0.50	asserted 1.00
s2	These can be used in order to distinguish theories with different late-time variability of the equation of state.	interpretation 0.99	0.38	0.49	hedged possibility 0.70

What kind of paper the classifier reports this is: theoretical result 0.92 · evidence from simulation or computation 0.50.

What was examined, and what was not

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arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We study the growth of matter perturbations beyond the linear level in cosmologies in which the dark energy has a variable equation of state. The non-linear corrections result in shifts in the positions of the maximum, minima and nodes of the spectrum within the range of Baryon Acoustic Oscillations. These can be used in order to distinguish theories with different late-time variability of the equation of state.

Human review

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How the literature uses it

2 arXiv papers cite this in 2 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 15 sentences without a confident label

Uses the method or tool of 4 papers

This gives [ref] [equation]

Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations · Formalism · 0.83
This gives [ref] [equation]

Resumming Cosmic Perturbations · Formalism · 0.83
([ref]), ([ref]) in the form [ref] [equation] The indices $a,b,c$ take values $1,2$.

Renormalized Cosmological Perturbation Theory · Formalism · 0.87

Cites as background 3 papers

The various analytical methods [ref] – [ref] that have been developed in order to go beyond linear perturbation theory essentially amount to resummations of subsets of perturbative diagrams of arbitrarily high order, in a way analogous to the renormalization group (RG).

Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space · Introduction · 0.90
The various analytical methods [ref] – [ref] that have been developed in order to go beyond linear perturbation theory essentially amount to resummations of subsets of perturbative diagrams of arbitrarily high order, in a way analogous to the renormalization group (RG).

Renormalized Cosmological Perturbation Theory · Introduction · 0.90
(For a review, see [ref] .) The accuracy of the calculation can be determined either by enlarging the truncated system (by including the trispectrum, for example) and examining the stability of the results, or by comparing with alternative methods.

Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics · Formalism · 0.99

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