Discrete approaches to quantum gravity in four dimensions

Loll, Renate

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Discrete approaches to quantum gravity in four dimensions

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Loll, Renate
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Loll, R. (1998). Discrete approaches to quantum gravity in four dimensions. Living Review in Relativity, 1, 13-13.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-59F7-7

Abstract

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.