# The relation between Euclidean and Lorentzian 2D quantum gravity

@article{Ambjorn1999TheRB, title={The relation between Euclidean and Lorentzian 2D quantum gravity}, author={Jan Ambjorn and Jo{\~a}o D. Correia and Charlotte Kristjansen and R Loll}, journal={Acta Crystallographica Section E-structure Reports Online}, year={1999} }

## 52 Citations

### New aspects of two-dimensional quantum gravity

- Physics
- 2009

Causal dynamical triangulations (CDT) can be used as a regularization of quantum gravity. In two dimensions the theory can be solved anlytically, even before the cut-off is removed and one can study…

### 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…

### 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 3d gravity with wormholes via matrix models

- Physics
- 2001

We uncover a surprising correspondence between a non-perturbative formulation of three-dimensional Lorentzian quantum gravity and a hermitian two-matrix model with ABAB-interaction. The gravitational…

### 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…

### F eb 2 01 3 Quantum Gravity via Causal Dynamical Triangulations

- Physics
- 2011

“Causal Dynamical Triangulations” (CDT) represent a lattice regularization of the sum over spacetime histories, providing us with a non-perturbative formulation of quantum gravity. The ultraviolet…

### (2+1)-dimensional quantum gravity as the continuum limit of Causal Dynamical Triangulations

- Physics
- 2007

We perform a non-perturbative sum over geometries in a (2+1)-dimensional quantum gravity model given in terms of Causal Dynamical Triangulations. Inspired by the concept of triangulations of product…

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