Discrete approaches to quantum gravity in four dimensions
General Relativity and Quantum Cosmology
2015-06-25 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.gr-qc/9805049,
title = {Discrete approaches to quantum gravity in four dimensions},
author = {R. Loll},
journal= {arXiv preprint arXiv:gr-qc/9805049},
year = {2015}
}
Comments
33 pages, invited contribution to Living Reviews in Relativity; the author welcomes any comments and suggestions