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Functional Renormalization Group flows on Friedman-Lema\^{\i}tre-Robertson-Walker backgrounds

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arxiv 1710.01972 v1 pith:L64AQOJ2 submitted 2017-10-05 hep-th gr-qc

Alessia Platania , Frank Saueressig This is my paper · ORCID
classification hep-thgr-qc
keywords grouprenormalizationformulationfunctionalactionapproacharnowitt-deser-misnerbackgrounds
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We reanalyze the construction of the gravitational functional renormalization group equation tailored to the Arnowitt-Deser-Misner formulation emphasizing its connection to the covariant formulation. The results obtained from projecting the renormalization group flow onto the Einstein-Hilbert action are reviewed in detail and we provide a novel example illustrating how the formalism may be connected to the Causal Dynamical Triangulations approach to quantum gravity.

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  1. The inflationary mechanism in Asymptotically Safe Gravity

    gr-qc 2019-08 conditional novelty 3.0 of 10

    Departure from the asymptotically safe gravity fixed point generates a plateau inflaton potential with a nearly scale-invariant spectrum, and the Starobinsky model is recovered for critical exponents θ1=θ2=2.

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