Discrete Approaches to Quantum Gravity in Four Dimensions
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 nontrivial quantum theory proceeds via a discretization of spacetime and the Einstein action. I review here three major areas of research: gaugetheoretic approaches, both in a pathintegral and a Hamiltonian formulation; quantum Regge calculus; and the method of dynamical triangulations, confining attention to work that is strictly fourdimensional, strictly discrete, and strictly quantum in nature.
 Publication:

Living Reviews in Relativity
 Pub Date:
 December 1998
 DOI:
 10.12942/lrr199813
 arXiv:
 arXiv:grqc/9805049
 Bibcode:
 1998LRR.....1...13L
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 33 pages, invited contribution to Living Reviews in Relativity