Lorentzian 3d gravity with wormholes via matrix models

Ambjörn, Jan; Jurkiewicz, Jerzy; Loll, Renate; Vernizzi, Graziano

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Lorentzian 3d gravity with wormholes via matrix models

MPS-Authors

Loll, Renate
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

2740.pdf
(Preprint), 393KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-564C-1

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