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Cited by 388Noncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsRelativity and Gravitational Theory

Non-perturbative Lorentzian quantum gravity, causality and topology change

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Ambjørn, J., Loll, R.·1998·Nuclear Physics B
DOI 10.1016/s0550-3213(98)00692-0
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  • The alternative Lorentzian model introduced by Ambjørn and Loll has much nicer properties, including a continuum limit that appears numerically to match a finite-sized, spherical semiclassical configuration.

    “An alternative “Lorentzian” model, introduced by Ambjørn and Loll [16, 9, 12, 10, 180, 13], however, has much nicer properties, including a continuum limit that appears numerically to match a finite-sized, spherical “semiclassical” configuration.”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [16]

    The Abstract (p. 1) introduces a two-dimensional Lorentzian quantum-gravity model and states that it has a continuum limit. The Conclusions (p. 25) describe that limit but propose numerical simulations as future work; they do not report a numerical match to a finite-sized, spherical semiclassical configuration. (LLM, conf=0.88)

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Cites

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Research works printed but not linked: 18

  1. [1][1] J.F. Barbero G.: From Euclidean to Lorentzian general relativity: the real way, Phys. Rev. D 54 (1996) 1492-1499, e-Print Archive: gr-qc/9605066. · arXiv
  2. [2][2] A. Carlini and J. Greensite: Square root actions, metric signature, and the path integral of quantum gravity, Phys. Rev. D 52 (1995) 6947-6964, e-Print Archive: gr-qc/9502023. · arXiv
  3. [3][3] W. Beirl and D.A. Johnston: 2d Lorentzian gravity as 2d Euclidean gravity with Ising spins, preprint TU Vienna, Feb 1996, e-Print Archive: hep-lat/9602009. · arXiv
  4. [13][13] J. Ambjørn and Y. Watabiki: Scaling in quantum gravity, Nucl. Phys. B 445 (1995) 129-144, e-Print Archive: hep-th/9501049. 28 http://arxiv.org/abs/gr-qc/9605066 http://arxiv.org/abs/gr-qc/9502023 http://arxiv.org/abs/hep-lat/9602009 http://arxiv.org/abs/gr-qc/9702025 http://arxiv.org/abs/hep-th/9501049 · arXiv
  5. [14][14] J. Ambjørn, J. Jurkiewicz and Y. Watabiki: On the fractal structure of two-dimensional quantum gravity, Nucl. Phys. B 454 (1995) 313-342, e-Print Archive: hep-lat/9507014; Dynamical triangulations, a gateway to quantum gravity?, J. Math. Phys. 36 (1995) 6299-6339, e-Print Archive: hep-th/9503108. · arXiv
  6. [15][15] H. Aoki, H. Kawai, J. Nishimura and A. Tsuchiya: Operator product expansion in two-dimensional quantum gravity, Nucl. Phys. B 474 (1996) 512-528, e-Print Archive: hep-th/9511117. · arXiv
  7. [16][16] J. Ambjørn, B. Durhuus and T. Jónsson: Quantum Geometry, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cam- bridge, 1997.
  8. [18][18] R. Nakayama: 2-d quantum gravity in the proper time gauge, Phys. Lett. B 325 (1994) 347-353, e-Print Archive: hep-th/9312158. · arXiv
  9. [19][19] A. Carlini and J. Greensite: Fundamental constants and the problem of time, Phys. Rev. D 52 (1995) 936-960, e-Print Archive: gr-qc/9406044. · arXiv
  10. [22][22] J. Ambjørn, S. Jain and G. Thorleifsson: Baby universes in 2-d quantum grav- ity, Phys. Lett. B 307 (1993) 34-39, e-Print Archive: hep-th/9303149. · arXiv
  11. [23][23] J. Ambjørn, S. Jain, J. Jurkiewicz and C.F. Kristjansen: Observing 4d baby universes in quantum gravity, Phys. Lett. B 305 (1993) 208-213, e-Print Archive: hep-th/9303041. · arXiv
  12. [24][24] J. Louko and R.D. Sorkin: Complex actions in two-dimensional topology change, Class. Quant. Grav. 14 (1997) 179-203, e-Print Archive: gr-qc/9511023. · arXiv
  13. [25][25] N. Ishibashi and H. Kawai: String field theory of noncritical strings, Phys. Lett. B 314 (1993) 190-196, e-Print Archive: hep-th/9307045. · arXiv
  14. [26][26] Y. Watabiki: Construction of noncritical string field theory by transfer matrix formalism in dynamical triangulation, Nucl. Phys. B 441 (1995) 119-166, e- Print Archive: hep-th/9401096. · arXiv
  15. [27][27] V.A. Kazakov: The appearance of matter fields from quantum fluctuations of 2-d gravity, Mod. Phys. Lett. A 4 (1989) 2125. 29 http://arxiv.org/abs/hep-lat/9507014 http://arxiv.org/abs/hep-th/9503108 http://arxiv.org/abs/hep-th/9511117 http://arxiv.org/abs/hep-th/9312158 http://arxiv.org/abs/gr-qc/9406044 http://arxiv.org/abs/hep-th/9204017 http://arxiv.org/abs/hep-th/9204017 http://arxiv.org/abs/hep-th/9303149 http://arxiv.org/abs/hep-th/9303041 http://arxiv.org/abs/gr-qc/9511023 http://arxiv.org/abs/hep-th/9307045 http://arxiv.org/abs/hep-th/9401096 · arXiv
  16. [28][28] H. Kawai, N. Kawamoto, T. Mogami and Y. Watabiki: Transfer matrix formal- ism for two-dimensional quantum gravity and fractal structures of space-time, Phys. Lett. B 306 (1993) 19-26, e-Print Archive: hep-th/9302133. · arXiv
  17. [30][30] N. Ishibashi and H. Kawai: String field theory of c ≤ 1 noncritical strings, Phys. Lett. B 322 (1994) 67-78, e-Print Archive: hep-th/9312047. · arXiv
  18. [32][32] S. Bilke, Z. Burda, A. Krzywicki, B. Petersson, J. Tabaczek and G. Thorleifsson, 4-d simplicial quantum gravity interacting with gauge matter fields, Phys. Lett. B 418 (1998) 266-272, e-Print Archive: hep-lat/9710077. 30 http://arxiv.org/abs/hep-th/9302133 http://arxiv.org/abs/hep-th/9312047 http://arxiv.org/abs/hep-th/9503006 http://arxiv.org/abs/gr-qc/9805049 http://arxiv.org/abs/hep-lat/9710077 · arXiv

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Authors
Ambjørn, J., & Loll, R.
Affiliations
Max Planck Society (DE)
Corresponding author
Loll, R.
ORCID
Loll, R.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1998-12
Volume
536
Issue
1-2
Pages
407-434
ISSN
0550-3213 (ISSN-L)
DOI
10.1016/s0550-3213(98)00692-0
OpenAlex
W2015613285
Cited by
388
References
3
Citations by year
2026: 5 · 2025: 24 · 2024: 18 · 2023: 25 · 2022: 8 · 2021: 18 · 2020: 9 · 2019: 12 · 2018: 8 · 2017: 23 · 2016: 12 · 2015: 14 · 2014: 18 · 2013: 22 · 2012: 21
FWCI
8.75
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Nuclear Physics B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Utrecht University Repository (Utrecht University) (submittedVersion, other-oa)
  • Max Planck Institute for Plasma Physics (submittedVersion)
  • Max Planck Digital Library (submittedVersion, other-oa)
  • Research at the University of Copenhagen (University of Copenhagen) (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
Universitat de Barcelona
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
Lorentzian quantum gravity, two-dimensional quantum gravity, lattice model, causal structure, topology change, matrix models, Liouville theory, continuum limit, exact solutions

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