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Discrete approaches to quantum gravity in four dimensions

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arxiv gr-qc/9805049 v1 pith:WBA3Z7RK submitted 1998-05-13 gr-qc hep-th

Discrete approaches to quantum gravity in four dimensions

classification gr-qc hep-th
keywords quantumstrictlyapproachesdiscretegravitytheoryactionansatz
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The construction of a consistent theory of quantum gravity is a problem in theoretical physics that has so far defied all attempts at resolution. One ansatz to try to obtain a non-trivial quantum theory proceeds via a discretization of space-time and the Einstein action. I review here three major areas of research: gauge-theoretic approaches, both in a path-integral and a Hamiltonian formulation, quantum Regge calculus, and the method of dynamical triangulations, confining attention to work that is strictly four-dimensional, strictly discrete, and strictly quantum in nature.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Collective excitations in quantum gravity condensates

    gr-qc 2026-05 unverdicted novelty 6.0

    Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.

  2. Causal Dynamical Triangulations: New Lattice Theory of Quantum Gravity

    hep-th 2026-04 unverdicted novelty 6.0

    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...