Computer simulations of 3-d Lorentzian quantum gravity
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At weak coupling, a semiclassical regime appears that resembles the picture obtained from other approaches to (2+1)-dimensional gravity.
“At weak coupling, however, a “semiclassical” regime appears that resembles the picture obtained from other approaches to (2 + 1)-dimensional gravity.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [10]
The Introduction (p. 2) defines k0 as proportional to the inverse bare gravitational coupling. The Results (pp. 3–4) place the extended, semiclassical three-dimensional regime below the critical k0, while above it the model reduces to uncorrelated two-dimensional gravity models. Thus the paper places that regime at stronger, not weaker, gravitational coupling. (LLM, conf=0.87)
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Experimental — accuracy not yet measuredAt strong coupling, the Lorentzian dynamical triangulation system splits into uncorrelated two-dimensional spaces, each well-described by two-dimensional gravity.
“At strong coupling, the system splits into uncorrelated two-dimensional spaces, each well-described by two-dimensional gravity.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [10]
The Introduction identifies k₀ as proportional to the inverse gravitational coupling. The Results (p. 3) place the uncorrelated 2D-gravity phase above the critical k₀, where gravitational coupling is weaker; below it, at stronger gravitational coupling, the paper reports extended 3D configurations. (LLM, conf=0.86)
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Experimental — accuracy not yet measuredIn the Lorentzian dynamical triangulation model, expectation value of spatial area at fixed time and correlation of successive areas match classical de Sitter behavior for a spacetime R×S2 quite well.
“In particular, one may evaluate the expectation value 〈A(t)〉 of the spatial area at fixed time and the correlation 〈A(t)A(t + 1)〉 of successive areas; the results match the classical de Sitter behavior for a spacetime ℝ × S2 quite well.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [10]
The results (pp. 3–4, Eq. 3 and Fig. 3) report a spatial-volume correlator that fits a classical positive-curvature S³ solution rather well. They do not report that the fixed-time expectation value of spatial area was separately matched to that solution. The paper also specifies periodic S¹ × S² topology, rather than ℝ × S², and notes that a Gaussian time profile fits comparably well. (LLM, conf=0.87)
Experimental — accuracy not yet measuredIn the Lorentzian dynamical triangulation model, the path integral can be evaluated numerically using Monte Carlo methods and moves that systematically change an initial triangulation; one finds two phases.
“The path integral for such a system can be evaluated numerically, using Monte Carlo methods and a set of “moves” that systematically change an initial triangulation [12, 10]. One finds two phases.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [10]
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Cites
Four-dimensional simplicial quantum gravity
Ambjørn, J., & Jurkiewicz, J. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)90709-d · Cited by 205 · see citing works
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Ambjørn, J., Jurkiewicz, J., & Loll, R.
- Affiliations
- Jagiellonian University (PL)
- Max Planck Institute for Gravitational Physics (DE)
- Venue
- Nuclear Physics B - Proceedings Supplements
- Publisher
- Elsevier BV
- Published
- 2001-03
- Volume
- 94
- Issue
- 1-3
- Pages
- 689-692
- ISSN
- 0920-5632 (ISSN-L)
- OpenAlex
- W2952408633
- Cited by
- 18
- References
- 1
- Citations by year
- 2024: 1 · 2023: 1 · 2022: 1 · 2019: 1
- FWCI
- 2.40
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B - Proceedings Supplements (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)
- 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
- non-perturbative quantum gravity, phase diagram, first-order phase transition, continuum limit
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