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## References

SHOWING 1-10 OF 88 REFERENCES

### Non-perturbative 3d Lorentzian quantum gravity

- Physics
- 2001

The phase structure of the Wick-rotated path integral in three dimensions with the aid of computer simulations is investigated, finding a whole range of the gravitational coupling constant k{sub 0} for which the functional integral is dominated by nondegenerate three-dimensional space-times.

### Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results

- Physics
- 2000

We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods. More specifically, we work within a covariant…

### Singular Structure in 4 D Simplicial Gravity

- Physics
- 1998

We show that the phase transition previously observed in dynamical triangulation models of quantum gravity can be understood as being due to the creation of a singular link. The transition between…

### Crossing the c=1 barrier in 2d Lorentzian quantum gravity

- Physics
- 1999

Analysis of a system of eight Ising models coupled to dynamically triangulated Lorentzian geometries provides evidence for the conjecture that the KPZ values of the critical exponents in 2d Euclidean quantum gravity are entirely due to the presence of baby universes.

### Nonperturbative lorentzian path integral for gravity

- MathematicsPhysical review letters
- 2000

A well-defined regularized path integral is constructed for Lorentzian quantum gravity in terms of dynamically triangulated causal space-times, where the degenerate geometric phases found in dynamicallyTriangulated Euclidean gravity are not present.

### Discrete Approaches to Quantum Gravity in Four Dimensions

- PhysicsLiving reviews in relativity
- 1998

Three major areas of research are reviewed: 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.

### Simplicial Quantum Gravity and Random Lattices

- Physics
- 1992

Content:
1. Introduction
2. Regge calculus and dynamical triangulations
Simplicial manifolds and piecewise linear spaces - dual complex and volume elements - curvature and Regge action -…