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Cited by 8Noncommutative and Quantum Gravity TheoriesGeometric and Algebraic TopologyBlack Holes and Theoretical Physics

A New Recursion Relation for the 6j-Symbol

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Bonzom, Valentin, Livine, Etera R.·2012·Annales Henri Poincaré
DOI 10.1007/s00023-011-0143-y
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34 of 34 references verified0 citation errors · 0 not checkable

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  • Recursion relations for the 6j vertex amplitudes provide a tool for studying dynamics in spin foams of 3D gravity and might be useful in higher dimensions.

    “Recursion relations for the 6j vertex amplitudes have been investigated in [98, 157]. They provide a tool for studying dynamics in spin foams of 3D gravity and might be useful in higher dimensions [99].”

    From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [98]

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Research works printed but not linked: 14

  1. Perez, A.: Introduction to loop quantum gravity and spin foams. In: Lectures presented at the II international conference of fundamental interactions, Pedra Azul, Brazil (2004). arXiv:gr-qc/0409061 Vol. 13 (2012) · arXiv
  2. Perez, A.: The spin-foam-representation of loop quantum gravity. In: Oriti D (ed.) Approaches to quantum gravity: toward a new understanding of space, time and matter. Cambridge University Press, UK (2009). arXiv:gr-qc/0601095 · arXiv
  3. Livine, E.R.: A short and subjective introduction to the spinfoam framework for quantum gravity. In: Habilitation thesis 2010, Ecole Normale Supérieure de Lyon, France (2011). arXiv:1101.5061 · arXiv
  4. Ponzano, G., Regge, T.: Semiclassical limit of Racah coefficients. In: Spectro- scopic and group theoretical methods in physics (Bloch ed.), North-Holland (1968)
  5. Aquilanti, V., Haggard, H.M., Hedeman, A., Jeevanjee, N., Littlejohn, R.G., Yu, L.: Semiclassical mechanics of the Wigner 6j-symbol (2010). arXiv:1009.2811 [math-ph] · arXiv
  6. Freidel, L., Louapre, D.: Asymptotics of 6j and 10j symbols. Class. Quant. Grav. 20, 1267-1294 (2003). arXiv:hep-th/0209134 · arXiv
  7. Yu, L.: Asymptotic limits of the Wigner 15J-symbol with small quantum num- bers (2011). arXiv:1104.3641 [math-ph] · arXiv
  8. Yu, L.: Asymptotic limits of the Wigner 12J-symbol in terms of the Ponzano- Regge phases (2011). arXiv:1108.1881 [math-ph] · arXiv
  9. Bonzom, V. and Fleury, P.: Asymptotics of Wigner 3nj-symbols with small and large angular momenta: an elementary method. arXiv:1108.1569 [quant-ph] · arXiv
  10. Anderson, R.W., Aquilanti, V. and Marzuoli, A.: 3nj Morphogenesis and semi- classical disentangling. J. Phys. Chem. A 113, 15106 (2009). arXiv:1001.4386 [quant-ph] · arXiv
  11. Bonzom, V., Freidel, L.: The Hamiltonian constraint in 3d Riemannian loop quantum gravity. arXiv:1101.3524 [gr-qc] · arXiv
  12. Bonzom, V., Smerlak, M.: Bubble divergences from twisted cohomology. arXiv:1008.1476 [math-ph] · arXiv
  13. Baez, J.C., Christensen, J.D., Egan, G.: Asymptotics of 10j symbols. Class. Quant. Grav. 19, 6489 (2002). arXiv:gr-qc/0208010 · arXiv
  14. Bonzom, V., Smerlak M.: BF theory: discrete model and loop quantization (in press)

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Authors
Bonzom, V., & Livine, E. R.
Affiliations
  • Perimeter Institute (CA)
  • École Normale Supérieure de Lyon (FR)
Corresponding author
Livine, Etera R.
ORCID
Livine, Etera R.
Venue
Annales Henri Poincaré
Publisher
Springer Science and Business Media LLC
Published
2011-11-06
Volume
13
Issue
4
Pages
1083-1099
ISSN
  • 1424-0637 (ISSN-L)
  • 1424-0661
DOI
10.1007/s00023-011-0143-y
OpenAlex
W2096929291
Cited by
8
References
34
Citations by year
2025: 1 · 2024: 1 · 2013: 4 · 2012: 2
FWCI
1.47
Type
journal article
Language
en
Open access
Licence
www.springer.com/tdm (tdm)
Locations
  • Annales Henri Poincaré (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Government of Canada
  • Agence Nationale de la Recherche
  • Industry Canada
  • Institut Périmètre de physique théorique
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
6j symbols, recurrence relations, SU(2) representations, Ponzano-Regge model, three-dimensional quantum gravity

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