eng
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Living Reviews in Relativity
1433-8351
1998-12-15
1
13
10.12942/lrr-1998-13
lrr-1998-13
article
Discrete Approaches to Quantum Gravity in Four Dimensions
Renate Loll
1
Institute for Mathematics, Astrophysics and Particle Physics, Faculty of Science, Radboud University Nijmegen
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.
http://www.livingreviews.org/lrr-1998-13