On the exponential bound in four dimensional simplicial gravity

Abstract

Simplicial quantum gravity has been proposed as a regularization for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the 4-sphere. The model is well-defined only if the number of such triangulations consisting of $N$ simplexes is exponentially bounded. Numerical simulations seem so far to favor such a bound.

7 pages, 2 figures appended as a ps-file. Latex. NBI-HE-94-29

References in corpus (1)

• Observing 4D Baby Universes in Quantum Gravity

Cited by in corpus (23)

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• Remarks on the entropy of 3-manifolds
• Volume dependence of the phase boundary in 4D dynamical triangulation
• Dynamical Triangulations, a Gateway to Quantum Gravity ?
• More on the exponential bound of four dimensional simplicial quantum gravity
• Entropy of random coverings and 4D quantum gravity
• Lattice Gravity and Random Surfaces
• Simulating Four-Dimensional Simplicial Gravity using Degenerate Triangulations
• Monte Carlo simulations of 4d simplicial quantum gravity
• Topology in 4D simplicial quantum gravity
• Scalar fields in Causal Dynamical Triangulations
• Euclidean Dynamical Triangulations Revisited
• Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations
• Baby Universes in 4d Dynamical Triangulation
• Recent progress in the theory of random surfaces and simplicial quantum gravity
• Gravity and Random Surfaces on the Lattice - A Review
• Lattice Quantum Gravity: Review and Recent Developments
• Simulating 4D Simplicial Gravity including Degenerate Triangulations