Scale-dependent cosmology from effective quantum gravity in the invariant framework

Abstract

We explore the possibility of a consistent cosmology based on the gauge-fixing independent running of the gravitational and cosmological constants ($G$ and $\Lambda$) in the framework of effective quantum gravity. In particular, their running in this framework was found to satisfy $G\propto {\Lambda }^4$. In the cosmological setting, the covariance of the theory provides energy conservation relations, which are impossible to satisfy with the unique scale parameter. However, by introducing the second sub-dominant scale corresponding to the higher-loop corrections and higher-derivative terms, one can close the system of equations for the running of parameters and arrive at the consistent cosmological solutions. This approach yields a change in the cosmological expansion history that affects the ratio of the Hubble parameter today to the Hubble parameter at high redshift.

arXiv comment18 pages, 3 figures. v2: Added Cosmic Chronometers analysis. Version accepted in PDU

References in corpus (33)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• General relativity as an effective field theory: The leading quantum corrections
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• On the possible running of the cosmological "constant"
• The scaling evolution of cosmological constant
• On the scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom
• Effective Action of Vacuum: Semiclassical Approach
• Cosmology with Self-Adjusting Vacuum Energy Density from a Renormalization Group Fixed Point
• Variable Cosmological Constant as a Planck Scale Effect
• Running G and Λat low energies from physics at M_X: possible cosmological and astrophysical implications
• Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the Standard Model
• Renormalization-group running cosmologies - a scale-setting procedure
• The Dark Matter Problem in Light of Quantum Gravity
• Renormalization-group running of the cosmological constant and the fate of the universe
• Evanescent Effects Can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
• Gravitational and Chiral Anomalies in the Running Vacuum Universe and Matter-Antimatter Asymmetry
• Density Perturbations for Running Cosmological Constant
• Two-Loop Renormalization of Quantum Gravity Simplified
• Studying the decay of the vacuum energy with the observed density fluctuation spectrum
• Cosmic perturbations with running G and Lambda
• Galaxy rotation curves from General Relativity with Renormalization Group corrections
• On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity
• Renormalization group scale-setting in astrophysical systems
• Astrophysical and cosmological constraints on a scale-dependent gravitational coupling
• Asymptotic Regimes in Quantum Gravity at Large Distances and Running Newtonian and Cosmological Constants
• On the Possibility of Quantum Gravity Effects at Astrophysical Scales
• Scalar-Tensor gravity with system-dependent potential and its relation with Renormalization Group extended General Relativity
• Constraints from observational data for a running cosmological constant and warm dark matter with curvature
• Cosmological framework for renormalization group extended gravity at the action level
• Primordial universe with the running cosmological constant
• Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms

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