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  A non-perturbative Lorentzian path integral for gravity

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

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Ambjörn, Jan, Author
Jurkiewicz, Jerzy, Author
Loll, Renate1, 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 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.

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Language(s): eng - English
 Dates: 2000
 Publication Status: Issued
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 Identifiers: eDoc: 2782
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 85 Sequence Number: - Start / End Page: 924 - 927 Identifier: -