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The 6j-symbol: recursion, correlations and asymptotics
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We study the asymptotic expansion of the {6j}-symbol using the Schulten–Gordon recursion relations. We focus on the particular case of the isosceles tetrahedron and we provide explicit formulas for up to the third-order corrections beyond the leading order. Moreover, in the framework of spinfoam models for 3D quantum gravity, we show how these recursion relations can be used to derive Ward–Takahashi-like identities between the expectation values of graviton-like spinfoam correlations.
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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 [157]
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- Bonzom V, 2010, Class. Quantum Grav.
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Metadata
- Authors
- Dupuis, M., & Livine, E. R.
- Affiliations
- École Normale Supérieure de Lyon (FR)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2010-05-11
- Volume
- 27
- Issue
- 13
- Pages
- 135003
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2012231438
- Cited by
- 19
- References
- 38
- Citations by year
- 2014: 1 · 2013: 3 · 2012: 5
- FWCI
- 3.85
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- HAL (submittedVersion, other-oa)
- Trinity's Access to Research Output (TARA) (Trinity College Dublin) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy 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
- 6j symbols, asymptotic expansion, three-dimensional quantum gravity, Ward identities
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