Discrete Approaches to Quantum Gravity in Four Dimensions

Living Rev Relativ. 1998;1(1):13. doi: 10.12942/lrr-1998-13. Epub 1998 Dec 15.

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.

Publication types

  • Review