Functional Renormalization Group flows on Friedman-Lema\^ıtre-Robertson-Walker backgrounds

Abstract

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.

14 pages, 2 figures

References in corpus (5)

• Exact evolution equation for the effective potential
• Nonperturbative Quantum Gravity
• Asymptotically Safe Lorentzian Gravity
• The Semiclassical Limit of Causal Dynamical Triangulations
• Four-dimensional CDT with toroidal topology

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