In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.
Planckian Birth of the Quantum de Sitter Universe
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We show that the quantum universe emerging from a nonperturbative, Lorentzian sum-over-geometries can be described with high accuracy by a four-dimensional de Sitter spacetime. By a scaling analysis involving Newton's constant, we establish that the linear size of the quantum universes under study is in between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum fluctuations around the de Sitter universe in this regime are to good approximation still describable semiclassically. The numerical evidence presented comes from a regularization of quantum gravity in terms of causal dynamical triangulations.
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De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety
In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.