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 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.

Note:

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

inspirereview:IV-a-5
quantum gravity: triangulation
space-time: discrete
field theory: action
gauge field theory
path integral
Hamiltonian formalism
field theoretical model: Regge
critical phenomena
two-point function

References(182)

Figures(0)

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