Nonperturbative Lorentzian Path Integral for Gravity

J. Ambjørn, J. Jurkiewicz, and R. Loll
Phys. Rev. Lett. 85, 924 – Published 31 July 2000
PDFExport Citation

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.

  • Received 7 February 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.924

©2000 American Physical Society

Authors & Affiliations

J. Ambjørn1, J. Jurkiewicz2, and R. Loll3

  • 1The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
  • 2Institute of Physics, Jagellonian University, Reymonta 4, PL 30-059 Krakow, Poland
  • 3Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, D-14476 Golm, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 85, Iss. 5 — 31 July 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×