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  Lorentzian 3d gravity with wormholes via matrix models

Ambjörn, J., Jurkiewicz, J., Loll, R., & Vernizzi, G. (2001). Lorentzian 3d gravity with wormholes via matrix models. Journal of High Energy Physics, 2001(9), 022.

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2740.pdf (Preprint), 393KB
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Ambjörn, Jan, Author
Jurkiewicz, Jerzy, Author
Loll, Renate1, Author
Vernizzi, Graziano, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: 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 transfer matrix can be expressed as the logarithm of a two-matrix integral, and we deduce from the known structure of the latter that the model has two phases. In the phase of weak gravity, well-defined two-dimensional universes propagate in proper time, whereas in the strong-coupling phase the spatial hypersurfaces disintegrate into many components connected by wormhole

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Language(s): eng - English
 Dates: 2001
 Publication Status: Issued
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 Identifiers: eDoc: 2740
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2001 (9) Sequence Number: - Start / End Page: 022 Identifier: -