(2 + 1)-dimensional quantum gravity, spin networks and asymptotics
Open accessAbstract
A method to evaluate spin networks for (2 + 1)-dimensional quantum gravity is given. We analyse the evaluation of spin networks for Lorentzian, Euclidean and a new limiting case of Newtonian quantum gravity. Particular attention is paid to the tetrahedron and to the study of its asymptotics. Moreover, we propose that all this technique can be extended to spin networks for quantum gravity in any dimension.
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It has been known for several years how to generalize the Ponzano-Regge action for a single tetrahedron, and recently considerable progress has been made in constructing Lorentzian spin foam models.
“It has been known for several years how to generalize the Ponzano-Regge action for a single tetrahedron [48, 101, 191], and recently considerable progress has been made in constructing Lorentzian spin foam models [222, 125, 102].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [191]
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Cites
Asymptotics of 10 <i>j</i> symbols
Baez, J. C., Christensen, J. D., & Egan, G. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/24/315 · Cited by 80 · see citing works
Simple spin networks as Feynman graphs
Freidel, L., & Krasnov, K. (2000) · Journal of Mathematical Physics · doi:10.1063/1.533203 · Cited by 42 · see citing works
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Research works printed but not linked: 13
- Baez J C and Barrett J W 2001 Integrability for relativistic spin networks Class. Quantum Grav. 18 4683-700 (Preprint gr-qc/0101107) · arXiv
- Baez J C, Christensen J D and Egan G 2002 Asymptotics of 10j symbols Class. Quantum Grav. 19 6489 (Preprint gr-qc/0208010) · arXiv
- Barrett J W 1998 The classical evaluation of relativistic spin networks Adv. Theor. Math. Phys. 2 593 (Preprint QA/9803063)
- Barrett J W and Crane L 2000 A Lorentzian signature model for quantum general relativity Class. Quantum Grav. 17 3101 (Preprint gr-qc/9904025) · arXiv
- Barrett J W and Steele C M 2003 Asymptotics of relativistic spin networks Class. Quantum Grav. 20 1341 (Preprint gr-qc/0209023) · arXiv
- Barrett J W and Williams R M 1999 The asymptotics of an amplitude for the 4-simplex Adv. Theor. Math. Phys. 3 209 (Preprint gr-qc/9809032) · arXiv
- Davids S 2000 Semiclassical limits of extended Racah coefficients J. Math. Phys. 41 924 (Preprint gr-qc/ 9807061)
- Davids S 2000 A state sum model for (2 + 1) Lorentzian quantum gravity PhD Thesis University of Nottingham (Preprint gr-qc/0110114) · arXiv
- Freidel L 2000 A Ponzano-Regge model of Lorentzian 3-dimensional gravity Nucl. Phys. Proc. Suppl. 88 237 (Preprint gr-qc/0102098) · arXiv
- Freidel L and Louapre D 2003 Asymptotics of 6j and 10j symbols Class. Quantum Grav. 20 1267 (Preprint hep-th/0209134) · arXiv
- Hochstadt H 1971 The functions of mathematical physics Pure and Applied Mathematics vol XXIII ed R Courant, L Bers and J J Stoker (New York: Wiley-Interscience)
- Penrose R 1971 Angular momentum: an approach to combinatorial spacetime Quantum Theory and Beyond ed T Bastin (Cambridge: Cambridge University Press)
- Terras A 1985 Harmonic Analysis on Symmetric Spaces and Applications vol I (Berlin: Springer)
Cited by
Sorted by citations
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
- García-Islas, J. M.
- Affiliations
- University of Nottingham (GB)
- Corresponding author
- García-Islas, J Manuel
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2003-12-05
- Volume
- 21
- Issue
- 2
- Pages
- 445-464
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1984369221
- Cited by
- 8
- References
- 2
- Citations by year
- 2025: 1 · 2024: 2 · 2018: 1 · 2013: 1
- FWCI
- 0.59
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Consejo Nacional de Ciencia y Tecnología
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- three-dimensional gravity, spin networks, Lorentzian quantum gravity, Euclidean quantum gravity, tetrahedron, asymptotic analysis
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