## 45 Citations

### A hexagon model for 3-d Lorentzian quantum cosmology

- Physics
- 2002

We formulate a dynamically triangulated model of three-dimensional Lorentzian quantum gravity whose spatial sections are flat two tori. It is shown that the combinatorics involved in evaluating the…

### A discrete history of the Lorentzian path integral

- Mathematics
- 2003

In these lecture notes, I describe the motivation behind a recent formulation of a non-perturbative gravitational path integral for Lorentzian (instead of the usual Euclidean) space-times, and give a…

### Quantum Gravity via Causal Dynamical Triangulations

- Physics
- 2014

Causal dynamical triangulations (CDT ) represent a lattice regularization of the sum over spacetime histories, providing us with a nonperturbative formulation of quantum gravity. The ultraviolet…

### Reconstructing the universe

- Physics
- 2005

We provide detailed evidence for the claim that nonperturbative quantum gravity, defined through state sums of causal triangulated geometries, possesses a large-scale limit in which the dimension of…

### Gauge fixing in Causal Dynamical

- Physics
- 2008

We relax the definition of the Ambjørn-Loll causal dynamical triangulation model in 1 + 1 dimensions to allow for a varying lapse. We show that, as long as the spatially averaged lapse is constant in…

### The emergence of spacetime or quantum gravity on your desktop

- Physics
- 2008

Is there an approach to quantum gravity which is conceptually simple, relies on very few fundamental physical principles and ingredients, emphasizes geometric (as opposed to algebraic) properties,…

### Detailed Derivation of 1+1 Dimensional Causal Dynamical Triangulations without Preferred Foliation

- 2017

This paper provides a detailed derivation of one candidate theory of Quantum Gravity: Causal Dynamical Triangulations without preferred foliation in 1+1 dimensions. First, we recover the exact…

## References

SHOWING 1-10 OF 10 REFERENCES

### 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.

### 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.

### Phys. Rev. Lett. Nucl. Phys

- Phys. Rev. Lett. Nucl. Phys
- 2000

### A.Dasgupta and R.Loll,Nucl.Phys.B606

- Nucl. Phys. B (Proc. Suppl.)
- 2001

### Phys. Rev

- Phys. Rev
- 2001

### D i pl om a T hesi s, U ni versi ty of H am burg

### Nucl. Phys. B (Proc. Suppl.)

- Nucl. Phys. B (Proc. Suppl.)
- 2001