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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 3354.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Computer Simulations of 3d Lorentzian Quantum Gravity
Authors:Ambjörn, Jan; Jurkiewicz, Jerzy; Loll, Renate
Language:English
Date of Publication (YYYY-MM-DD):2001
Title of Journal:Nuclear Physics B - Proceedings Supplements
Volume (in Journal):94
Start Page:689
End Page:692
Name of Conference/Meeting:18th Internationale Symposium on Lattice Field Theory Lattice 2000
Place of Conference/Meeting:Bangalore
Review Status:Peer-review
Audience:Not Specified
Abstract / Description: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
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
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