Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change

Ambjörn, Jan; Loll, Renate

doi:10.1016/S0550-3213(98)00692-0

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Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change

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

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Citation

Ambjörn, J., & Loll, R. (1998). Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change. Nuclear Physics B, 536(1-2), 407-434. doi:10.1016/S0550-3213(98)00692-0.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5916-3

Abstract

We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum limit coincides with the theory obtained by quantizing 2d continuum gravity in proper-time gauge, but it disagrees with 2d gravity defined via matrix models or Liouville theory. By allowing topology change of the compact spatial slices (i.e. baby universe creation), one obtains agreement with the matrix models and Liouville theory.