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Running vacuum against the $H_0$ and $\sigma_8$ tensions
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abstract
The cosmological term, $\Lambda$, was introduced $104$ years ago by Einstein in his gravitational field equations. Whether $\Lambda$ is a rigid quantity or a dynamical variable in cosmology has been a matter of debate for many years, especially after the introduction of the general notion of dark energy (DE). $\Lambda$ is associated to the vacuum energy density, $\rho_{\rm vac}$, and one may expect that it evolves slowly with the cosmological expansion. Herein we present a devoted study testing this possibility using the promising class of running vacuum models (RVM's). We use a large string $SNIa+BAO+H(z)+LSS+CMB$ of modern cosmological data, in which for the first time the CMB part involves the full Planck 2018 likelihood for these models. We test the dependence of the results on the threshold redshift $z_*$ at which the vacuum dynamics is activated in the recent past and find positive signals up to $\sim4.0\sigma$ for $z_*\simeq 1$. The RVM's prove very competitive against the standard $\Lambda$CDM model and give a handle for solving the $\sigma_8$ tension and alleviating the $H_0$ one.
Forward citations
Cited by 7 Pith papers
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Hubble tension: the shape wall
Late-time modifications to the expansion history can raise H0 by at most about 2% (conservative) to 3.7% (permissive) if the CMB acoustic scale is fixed.
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Towards a unified quantum field theory of dark energy and inflation: unstable de Sitter vacuum and running vacuum
The vacuum energy of quantum fields, computed exactly in de Sitter spacetime and then allowed to decay into radiation, can drive H^4-powered inflation and leave a slowly running dark energy δρ_vac ~ m_Pl^2 H^2, unifyi...
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Signatures of Modified Gravity on Linear Scales in a Dynamical Dark Energy Background
Using Planck, DESI, supernovae, and redshift-space distortions, the authors infer that modified gravity, if present, must act only below ~30 Mpc and cannot modify the large scales previously considered.
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Composite Dark Energy and the Cosmological Tensions
A composite dark energy with negative-energy phantom matter before z≈1.5 and quintessence afterward improves the fit over ΛCDM by ΔAIC≈60 and resolves both tensions with BAO 2D, but not with BAO 3D.
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Can decaying vacuum solve the H_0 Tension?
Two vacuum-decay models fitted to combined cosmological data give a positive decay rate at about six sigma and H0 near 71.6 km/s/Mpc, easing the Hubble tension.
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An overview of what current data can (and cannot yet) say about evolving dark energy
The apparent preference for evolving dark energy depends strongly on which supernova catalog and which BAO survey are used, and is not robust across all independent data combinations.
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Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy
The running vacuum model derives dynamical vacuum energy from QFT in curved spacetime, using H^4 terms for inflation and H^2 terms for dark energy while G evolves logarithmically.
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