Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants II: Metric Fluctuations

Abstract

We apply the new quantization scheme outlined in Phys. Rev. D102 (2020) 125001 to explore the influence which quantum vacuum fluctuations of the spacetime metric exert on the universes of Quantum Einstein Gravity, which is regarded an effective theory here. The scheme promotes the principle of Background Independence to the level of the regularized precursors of a quantum field theory ("approximants") and severely constrains admissible regularization schemes. Without any tuning of parameters, we find that the zero point oscillations of linear gravitons on maximally symmetric spacetimes do not create the commonly expected cosmological constant problem of a cutoff-size curvature. On the contrary, metric fluctuations are found to reduce positive curvatures to arbitrarily tiny and ultimately vanishing values when the cutoff is lifted. This suggests that flat space could be the distinguished groundstate of pure quantum gravity. Our results contradict traditional beliefs founded upon background-dependent calculations whose validity must be called into question therefore.

41 pages, 2 figures

References in corpus (4)

• Some remarks on the notions of general covariance and background independence
• Essential Quantum Einstein Gravity
• The history of the cosmological constant problem
• Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants

Cited by in corpus (5)

• Scalar-Tensor theories within Asymptotic Safety
• The Spectral Geometry of de Sitter Space in Asymptotic Safety
• Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes
• Background independence and field redefinitions in quantum gravity
• On the possibility of a novel (A)dS/CFT relationship emerging in Asymptotic Safety