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Lattice Quantum Gravity: EDT and CDT
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Lattice Quantum Gravity: EDT and CDT
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This article is an overview of the use of so-called Euclidean Dynamical Triangulations (EDT) and Causal Dynamical Triangulations (CDT) as lattice regularizations of quantum gravity. The lattice regularizations have been very successful in the case of two-dimensional quantum gravity, where the lattice theories indeed provide regularizations of continuum well defined quantum gravity theories. In four-dimensional spacetime the Einstein-Hilbert action leads to a theory of gravity which is not renormalizable as a perturbative quantum theory around flat spacetime. It is discussed how lattice gravity in the form of EDT or CDT can be used to search for a non-perturbative UV fixed point of the lattice renormalization group in the spirit of asymptotic safety. In this way it might be possible to define a quantum theory of gravity also at lengthscales smaller than the Planck length.
Forward citations
Cited by 2 Pith papers
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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 dimensio...
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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.
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