Asymptotic freedom, asymptotic flatness and cosmology

Elias Kiritsis

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Asymptotic freedom, asymptotic flatness and cosmology

Elias Kiritsis

High Energy Physics - Theory · Submitted 22 Jul 2013

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

The authors' main claim They are shown upon Wick rotation to provide a large class of inflationary models with logarithmically-soft inflaton potentials.

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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, 6,100 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.22 · compares with prior results 0.71 · 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.

Holographic RG flows in some cases are known to be related to cosmological solutions. In this paper another example of such correspondence is provided. Holographic RG flows giving rise to asymptotically-free $\beta$-functions have been analyzed in connection with holographic models of QCD. They are shown upon Wick rotation to provide a large class of inflationary models with logarithmically-soft inflaton potentials. The scalar spectral index is universal and depends only on the number of e-foldings. The ratio of tensor to scalar power depends on the single extra real parameter that defines this class of models. The Starobinsky inflationary model as well as the recently proposed models of T-inflation are members of this class. The holographic setup gives a completely new (and contrasting) view to the stability, naturalness and other problems of such inflationary models.

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	Holographic RG flows in some cases are known to be related to cosmological solutions.	background 1.00	0.05	0.05	asserted 0.52
s1	In this paper another example of such correspondence is provided.	contribution 0.98	0.85	0.09	asserted 0.98
s2	Holographic RG flows giving rise to asymptotically-free $\beta$-functions have been analyzed in connection with holographic models of QCD.	background 0.99	0.12	0.05	asserted 0.99
s3	They are shown upon Wick rotation to provide a large class of inflationary models with logarithmically-soft inflaton potentials.	result 0.84	0.79	0.43	asserted 1.00
s4	The scalar spectral index is universal and depends only on the number of e-foldings.	result 1.00	0.74	0.16	asserted 1.00
s5	The ratio of tensor to scalar power depends on the single extra real parameter that defines this class of models.	result 1.00	0.77	0.12	asserted 1.00
s6	The Starobinsky inflationary model as well as the recently proposed models of T-inflation are members of this class.	result 0.76	0.32	0.10	asserted 1.00
s7	The holographic setup gives a completely new (and contrasting) view to the stability, naturalness and other problems of such inflationary models.	interpretation 0.95	0.70	0.35	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

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

Holographic RG flows in some cases are known to be related to cosmological solutions. In this paper another example of such correspondence is provided. Holographic RG flows giving rise to asymptotically-free $\beta$-functions have been analyzed in connection with holographic models of QCD. They are shown upon Wick rotation to provide a large class of inflationary models with logarithmically-soft inflaton potentials. The scalar spectral index is universal and depends only on the number of e-foldings. The ratio of tensor to scalar power depends on the single extra real parameter that defines this class of models. The Starobinsky inflationary model as well as the recently proposed models of T-inflation are members of this class. The holographic setup gives a completely new (and contrasting) view to the stability, naturalness and other problems of such inflationary models.

Human review

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Holographic bounce
gr-qc 2019-08 conditional novelty 6.0 of 10

Holographic infrared and ultraviolet cutoffs can produce bouncing solutions, including nonsingular ones, and can be designed to reproduce F(R) gravity bounce.
Exotic RG Flows from Holography
hep-th 2016-11 accept novelty 6.0 of 10

The superpotential equation of Einstein-dilaton gravity admits multi-branched solutions whose dual RG flows bounce, skip fixed points, or run between minima, and these geometries are regular and perturbatively stable.
Starobinsky-like inflation from induced gravity
hep-ph 2014-02 conditional novelty 6.0 of 10

A single condition, the scalar potential equals a constant times the square of the non-minimal coupling minus one, selects Starobinsky-like single-field inflation models, and a subclass built on induced gravity keeps ...
Universality classes for models of inflation
astro-ph.CO 2014-07 conditional novelty 5.0 of 10

Single-field inflation models fall into a small number of universality classes set by how the Hamilton-Jacobi beta function behaves near the de Sitter fixed point, reproducing the known slow-roll predictions in a unif...
The large-N running of the spectral index of inflation
astro-ph.CO 2014-02 conditional novelty 5.0 of 10

Inflationary models that fit the observed spectral index all predict a running of the tilt near -0.001, a value set mainly by the observed tilt and the assumed 50 to 60 e-folds.

How the literature uses it

27 arXiv papers cite this in 35 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

Papers citing it · 23 sentences without a confident label

Compares with it 1 paper

It is interesting to notice that this class is actually matching with the class of models discussed in [ref] .

Classification of inflationary models and constraints on fundamental physics · Exponential class: (II). · 0.99

Cites it as background 11 papers

The gauge/gravity duality in the inflationary setup is discussed, e.g., in Refs. [ref] .

Consistency relations and conservation of $\zeta$ in holographic inflation · $ζ$ correlators from holography · 1.00
The holographic interpretation of some universality classes defined in terms of the $β$-function formalism for inflation has been discussed in [ref] , in [ref] and in [ref] .

Universality in generalized models of inflation · Introduction. · 0.88
A connection between AdS/CFT correspondence and cosmology has been studied in a different approach based on a holographic renormalization group flows in quantum field theory [ref] .

Primordial perturbations and inflation in holographic cosmology · Introduction · 0.96

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