Discrete Approaches to Quantum Gravity in Four Dimensions

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 ar...

Full description

Bibliographic Details
Main Author: Loll Renate
Format: Article
Language:English
Published: SpringerOpen 1998-01-01
Series:Living Reviews in Relativity
Subjects:
Online Access:http://www.livingreviews.org/lrr-1998-13
Description
Summary: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.
ISSN:1433-8351