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The running vacuum in effective quantum gravity

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arxiv 2111.14996 v2 pith:6D6BUNXP submitted 2021-11-29 gr-qc hep-th

Breno L. Giacchini , Tibério de Paula Netto , Ilya L. Shapiro This is my paper · ORCID
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keywords constantcosmologicaleffectivegroupquantumrenormalizationrunningvacuum
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We briefly review the previous works on the renormalization group in quantum general relativity with the cosmological constant, based on the Vilkovisky and DeWitt version of effective action. On top of that, we discuss the prospects of the applications of this version of renormalization group to the cosmological models with a running Newton constant and vacuum energy density.

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  1. Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity

    gr-qc 2025-01 conditional novelty 5.0 of 10

    In flat AdS quantum cosmology with Brown-Kuchar dust, the fractional Wheeler-DeWitt equation yields mass and entropy spectra scaling as (n+1/2)^(alpha/2), with a fractal mass dimension D = 3 alpha / 2.

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