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Conference Paper

#### Computer Simulations of 3d Lorentzian Quantum Gravity

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##### Citation

Ambjörn, J., Jurkiewicz, J., & Loll, R. (2001). Computer Simulations of 3d Lorentzian
Quantum Gravity.* Nuclear Physics B - Proceedings Supplements,* *94*,
689-692.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5602-5

##### Abstract

We investigate the phase diagram of non-perturbative three-dimensional Lorentzian quantum gravity with the help of Monte Carlo simulations. The system has a first-order phase transition at a critical value $k_0^c$ of the bare inverse gravitational coupling constant $k_0$. For $k_0 > k_0^c$ the system reduces to a product of uncorrelated Euclidean 2d gravity models and has no intrinsic interest as a model of 3d gravity. For $k_0 < k_0^c$, extended three-dimensional geometries dominate the functional integral despite the fact that we perform a sum over geometries and no particular background is distinguished at the outset. Furthermore, all systems with $k_0 < k_0^c$ have the same continuum limit. A different choice of $k_0$ corresponds merely to a redefinition of the overall length scale