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  Computer Simulations of 3d Lorentzian Quantum Gravity

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5602-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5603-3
Genre: Conference Paper

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 Creators:
Ambjörn, Jan, Author
Jurkiewicz, Jerzy, Author
Loll, Renate1, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 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

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Language(s): eng - English
 Dates: 2001
 Publication Status: Published in print
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 Identifiers: eDoc: 3354
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Title: 18th Internationale Symposium on Lattice Field Theory Lattice 2000
Place of Event: Bangalore
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Title: Nuclear Physics B - Proceedings Supplements
Source Genre: Journal
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Pages: - Volume / Issue: 94 Sequence Number: - Start / End Page: 689 - 692 Identifier: -