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Journal Article

A non-perturbative Lorentzian path integral for gravity

MPS-Authors

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

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Citation

Ambjörn, J., Jurkiewicz, J., & Loll, R. (2000). A non-perturbative Lorentzian path integral for gravity. Physical Review Letters, 85, 924-927.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-576A-8
Abstract
We construct a well-defined regularized path integral for Lorentzian quantum gravity in terms of dynamically triangulated causal space-times. Each Lorentzian geometry and its action have a unique Wick rotation to the Euclidean sector. All space-time histories possess a distinguished notion of a discrete proper time and, for finite lattice volume, the associated transfer matrix is self-adjoint, bounded, and strictly positive. The degenerate geometric phases found in dynamically triangulated Euclidean gravity are not present.