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Phys. Rev. D 78, 063544 (2008) [17 pages]

Nonperturbative quantum de Sitter universe

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J. Ambjørn1,3,*, A. Görlich2,†, J. Jurkiewicz2,‡, and R. Loll3,§
1The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
2Institute of Physics, Jagellonian University, Reymonta 4, PL 30-059 Krakow, Poland
3Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands

Received 29 July 2008; published 26 September 2008

The dynamical generation of a four-dimensional classical universe from nothing but fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical physicists. A candidate theory of quantum gravity which achieves this goal without invoking exotic ingredients or excessive fine-tuning is based on the nonperturbative and background-independent technique of causal dynamical triangulations. We demonstrate in detail how in this approach a macroscopic de Sitter universe, accompanied by small quantum fluctuations, emerges from the full gravitational path integral, and how the effective action determining its dynamics can be reconstructed uniquely from Monte Carlo data. We also provide evidence that it may be possible to penetrate to the sub-Planckian regime, where the Planck length is large compared to the lattice spacing of the underlying regularization of geometry.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.063544
DOI:
10.1103/PhysRevD.78.063544
PACS:
98.80.Qc, 04.60.Gw, 04.60.Nc

*ambjorn@nbi.dk

atg@th.if.uj.edu.pl

jurkiewicz@th.if.uj.edu.pl

§r.loll@phys.uu.nl