Cosmological framework for renormalization group extended gravity at the action level

Bertini, Nicolas R.; Hipólito-Ricaldi, W.S.; Melo-Santos, Felipe de; Rodrigues, Davi C.

doi:10.1140/epjc/s10052-020-8041-4

Cited by 9 publications

(7 citation statements)

References 69 publications

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“…It is important to note that the identification of the scaling (renormalization group) parameter μ with the Hubble parameter H has been achieved not only on the phenomenological background, but was also derived within the especially developed scale-setting procedure [31]. A similar procedure has been later on successfully used in astrophysical applications [32] to confirm the guess [15] based on the qualitative quantum field theory based arguments (see also recent work [33] for a more sophisticated astrophysical and cosmological considerations and further references).…”

Section: Background Solutionmentioning

confidence: 99%

Primordial universe with the running cosmological constant

et al. 2020

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Theoretically, the running of the cosmological constant in the IR region is not ruled out. On the other hand, from the QFT viewpoint, the energy released due to the variation of the cosmological constant in the late Universe cannot go to the matter sector. For this reason, the phenomenological bounds on such a running are not sufficiently restrictive. The situation can be different in the early Universe when the gravitational field was sufficiently strong to provide an efficient creation of particles from the vacuum. We develop a framework for systematically exploring this possibility. It is supposed that the running occurs in the epoch when the Dark Matter already decoupled and is expanding adiabatically, while the usual matter should be regarded approximately massless and can be abundantly created from vacuum due to the decay of vacuum energy. By using the handy model of Reduced Relativistic Gas for describing the warm Dark Matter, we consider the dynamics of both cosmic background and linear perturbations and evaluate the impact of the vacuum decay on the matter power spectrum and to the first CMB peak. Additionally, using the combined SNIa+BAO data, we find the best-fit values for the free parameters of the model.

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Section: Background Solutionmentioning

confidence: 99%

Primordial universe with the running cosmological constant

et al. 2020

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“…In spite of the good rotation and dispersion curve results, we briefly comment here that, if one wants to completely remove dark matter in place of RGGR effects, there are other issues that need to be answered as well, including galaxy-galaxy lensing (Rodrigues et al 2015b), cosmology (Bertini et al 2020) and solar system bounds (Farina et al 2011;Zhao & Xie 2015;Rodrigues et al 2016;Toniato et al 2017).…”

Section: Renormalization Group Improved General Relativity (Rggr)mentioning

confidence: 98%

“…The RGGR field equations found from the variation with respect to the metric read (Rodrigues et al 2015a;Bertini et al 2020)…”

Section: Renormalization Group Improved General Relativity (Rggr)mentioning

confidence: 99%

Normalized additional velocity distribution: a fast sample analysis for dark matter or modified gravity models

Alejandro¹,

Rodrigues²,

Wojnar³

2022

Preprint

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Here we propose a fast and complementary approach to study galaxy rotation curves directly from the sample data, instead of first performing individual rotation curve fits. The method is based on a dimensionless difference between the observational rotation curve and the expected one from the baryonic matter (𝛿𝑉 2 ). It is named as Normalized Additional Velocity (NAV). Using 153 galaxies from the SPARC galaxy sample, we find the observational distribution of 𝛿𝑉 2 . This result is used to compare with the model-inferred distributions of the same quantity. We consider the following five models to illustrate the method, which include a dark matter model and four modified gravity models: Burkert profile, MOND, Palatini 𝑓 (𝑅) gravity, Eddington-inspired-Born-Infeld (EiBI) and general relativity with renormalization group effects (RGGR). We find that the Burkert profile, MOND and RGGR have reasonable agreement with the observational data, the Burkert profile being the best model. The method also singles out specific difficulties of each one of these models. Such indications can be useful for future phenomenological improvements. The NAV method is sufficient to indicate that Palatini 𝑓 (𝑅) and EiBI gravities cannot be used to replace dark matter in galaxies, since their results are in strong tension with the observational data sample.

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“…Nowadays, there are some publications on the systematic derivation and covariant forms of the scale identification, see e.g. [73][74][75], which enable one to apply the solution (3.6).…”

Section: Physical Applicationsmentioning

confidence: 99%

On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity

Giacchini

Netto

Shapiro

2020

J. High Energ. Phys.

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The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the renormalization-group framework in a consistent way. On the other hand, the version of effective action proposed by Vilkovisky and DeWitt does not depend on the gauge-fixing and parametrization off- shell, opening the way to explore the running of the cosmological and Newton constants as well as the coefficients of the higher-derivative terms of the total action. We argue that in the effective framework the one-loop beta functions for the zero-, two- and four-derivative terms can be regarded as exact, that means, free from corrections coming from the higher loops. In this perspective, the running describes the renormalization group flow between the present-day Hubble scale in the IR and the Planck scale in the UV.

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Cosmological framework for renormalization group extended gravity at the action level

Cited by 9 publications

References 69 publications

Primordial universe with the running cosmological constant

Primordial universe with the running cosmological constant

Normalized additional velocity distribution: a fast sample analysis for dark matter or modified gravity models

On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity

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