Erratum to: 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/s10052-020-8179-0

Cited by 2 publications

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“…At the same time, there are different works trying to loosen the GR-ΛCDM tensions by considering the possibility of a variable Newton's constant G. Usually these models are essentially GR-like, in the sense that the basic term of the gravitational action still has the form of the Hilbert-Einstein term, plus a non-minimal coupling of curvature with a scalar field. This type of models and variations thereabout are valuable and have been recently used to try to mitigate the H 0 or the σ 8 tensions [121][122][123][124][125], but more difficult is to try to fulfill the mentioned golden rule-which requires not to aggravate one of the two tensions when improving the other. In point of fact, in some cases the σ 8 one actually gets significantly worse.…”

Section: Introductionmentioning

confidence: 99%

Brans–Dicke cosmology with a Λ-term: a possible solution to ΛCDM tensions*

Peracaula

Gómez-Valent

Pérez

et al. 2020

Class. Quantum Grav.

145

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We present a full-fledged analysis of Brans–Dicke cosmology with a cosmological constant and cold dark matter (BD-ΛCDM for short). We extend the scenarios where the current cosmological value of the BD-field is restricted by the local astrophysical domain to scenarios where that value is fixed only by the cosmological observations, which should be more natural in view of the possible existence of local screening mechanism. Our analysis includes both the background and perturbations equations in different gauges. We find that the BD-ΛCDM is favored by the overall cosmological data as compared to the concordance GR-ΛCDM model, namely data on distant supernovae, cosmic chronometers, local measurements of the Hubble parameter, baryonic acoustic oscillations, large-scale structure formation and the cosmic microwave background under full Planck 2018 CMB likelihood. We also test the impact of strong and weak-lensing data on our results, which can be significant. We find that the BD-ΛCDM can mimic effective quintessence with a significance of about 3.0–3.5σ c.l. (depending on the lensing datasets). The fact that the BD-ΛCDM behaves effectively as a running vacuum model (RVM) when viewed from the GR perspective helps to alleviate some of the existing tensions with the data, such as the σ 8 excess predicted by GR-ΛCDM. On the other hand, the BD-ΛCDM model has a crucial bearing on the acute H 0-tension with the local measurements, which is rendered virtually harmless owing to the small increase of the effective value of the gravitational constant with the expansion. The simultaneous alleviation of the two tensions is a most remarkable feature of BD-gravity with a cosmological constant in the light of the current observations, and hence goes in support of BD-ΛCDM against GR-ΛCDM.

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Section: Introductionmentioning

confidence: 99%

Brans–Dicke cosmology with a Λ-term: a possible solution to ΛCDM tensions*

Peracaula

Gómez-Valent

Pérez

et al. 2020

Class. Quantum Grav.

145

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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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Erratum to: Cosmological framework for renormalization group extended gravity at the action level

Abstract: The original version of this article used both the symbols

Cited by 2 publications

References 0 publications

Brans–Dicke cosmology with a Λ-term: a possible solution to ΛCDM tensions*

Brans–Dicke cosmology with a Λ-term: a possible solution to ΛCDM tensions*

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

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