The Hubble tension as an effect of the renormalization of fundamental constants and cosmological parameters

Abstract

In this Letter we propose an interpretation of the Hubble tension as an effect of the scale-running of cosmological parameters and fundamental constants, as the Newton's constant $G$ and the cosmological constant $\Lambda$. Namely, the tension between $H_0$ measurements by CMB and Supernovae observations would be a consequence of the fact that the value of $H_0$ depends (due to the running of $G$ and $\Lambda$) on the scale at which it is measured. Indeed, the two different values of the Hubble parameter today correspond to the two different cosmological scales at which Supernovae and CMB measurements probe our universe. We discuss some possible theoretical scenarios in which the running of $G$ and $\Lambda$ can occur. We stress that one should interpret such a running as a scale-dependence of the cosmological parameters and fundamental constants at the same time rather than a time dependence, as it is usually considered in the literature.

References in corpus (14)

• The Effective Field Theory of Cosmological Large Scale Structures
• Introduction to Effective Field Theory
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• Running vacuum against the $H_0$ and ${\sigma }_8$ tensions
• The Cosmological Constant Problem and Running Vacuum in the Expanding Universe
• Running vacuum in quantum field theory in curved spacetime: renormalizing ${\rho }_{vac}$ without $\sim m^4$ terms
• Late-transition vs smooth $H(z)$ deformation models for the resolution of the Hubble crisis
• Running vacuum in the Universe: phenomenological status in light of the latest observations, and its impact on the ${\sigma }_8$ and $H_0$ tensions
• Equation of state of the running vacuum
• Running vacuum in QFT in FLRW spacetime: The dynamics of ${\rho }_{\mathrm{vac}}(H)$ from the quantized matter fields
• Fakeons and the classicization of quantum gravity: the FLRW metric
• A gravitational constant transition within cepheids as supernovae calibrators can solve the Hubble tension
• Purely virtual particles versus Lee-Wick ghosts: physical Pauli-Villars fields, finite QED and quantum gravity
• Amplitude prescriptions in field theories with complex poles