Discrete approaches to quantum gravity in four dimensions

Details Discrete approaches to quantum gravity in four dimensions Discrete approaches to quantum gravity in four dimensions

1998-05-13

arxiv.org/abs/gr-qc/9805049v1

LivingRev.Rel.1:13,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, invited contribution to Living Reviews in Relativity; the author welcomes any comments and suggestions

Scientific paper

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.

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