Phys. Rev. Lett. 85, 924–927 (2000)Nonperturbative Lorentzian Path Integral for GravityReceived 7 February 2000; published in the issue dated 31 July 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.924
DOI:
10.1103/PhysRevLett.85.924
PACS:
04.60.Gw, 04.20.Gz, 04.60.Kz, 04.60.Nc
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