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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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:
Renate Loll,
"Discrete Approaches to Quantum Gravity in Four Dimensions",
Living Rev. Relativity 1, (1998), 13. URL (cited on <date>):
http://www.livingreviews.org/lrr-1998-13
ORIGINAL | http://www.livingreviews.org/lrr-1998-13 |
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Title | Discrete Approaches to Quantum Gravity in Four Dimensions |
Author | Renate Loll |
Date | accepted 19 November 1998, published 15 December 1998 |