Causal Dynamical Triangulations regularizes the gravitational path integral via causal triangulations, enabling Monte Carlo simulations that produce an emergent de Sitter universe with short-distance spectral dimension near 2 and evidence for an ultraviolet fixed point.
Ambjørn, A
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abstract
The dynamical generation of a four-dimensional classical universe from nothing but fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical physicists. A candidate theory of quantum gravity which achieves this goal without invoking exotic ingredients or excessive fine-tuning is based on the nonperturbative and background-independent technique of Causal Dynamical Triangulations. We demonstrate in detail how in this approach a macroscopic de Sitter universe, accompanied by small quantum fluctuations, emerges from the full gravitational path integral, and how the effective action determining its dynamics can be reconstructed uniquely from Monte Carlo data. We also provide evidence that it may be possible to penetrate to the sub-Planckian regime, where the Planck length is large compared to the lattice spacing of the underlying regularization of geometry.
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Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.
citing papers explorer
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Causal Dynamical Triangulations: New Lattice Theory of Quantum Gravity
Causal Dynamical Triangulations regularizes the gravitational path integral via causal triangulations, enabling Monte Carlo simulations that produce an emergent de Sitter universe with short-distance spectral dimension near 2 and evidence for an ultraviolet fixed point.
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Asymptotically safe quantum gravity and its phenomenology -- a review
Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.