Perturbative Finiteness in Spin-Foam Quantum Gravity
Open accessAbstract
The Lorentzian ``normalized balanced state sum model'' of quantum general relativity is finite on any nondegenerate triangulation. It provides a candidate for a background independent, perturbatively finite, quantum theory of general relativity in four dimensions and with Lorentzian signature.
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The 1/j_L dependence of α ensures that the relative uncertainties of areas and angles become small in the large distance limit.
“The 1 /j L dependence of α (absent in the first version of this paper) ensures that the relative uncertainties of areas and angles -that is: intrinsic and extrinsic geometry of the boundary- become small in the large distance limit.”
From Graviton Propagator from Background-Independent Quantum Gravity (2006) · cites this paper as [30]
In the absence of the 1/j_L dependence, the width of the gaussian is not sufficient for the approximation taken above to hold.
“Its need has been pointed out by Simone Speziale in the 3d context [29] and by John Baez in the 4d case, following numerical investigation by Dan Christensen and Greg Egan, that have shown that in the absence of this dependence the width of the gaussian is not sufficient for the approximation taken above to hold [30].”
From Graviton Propagator from Background-Independent Quantum Gravity (2006) · cites this paper as [30]
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- Authors
- Crane, L., Perez, A., & Rovelli, C.
- Affiliations
- Kansas State University (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-15
- Volume
- 87
- Issue
- 18
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1998114428
- Cited by
- 64
- References
- 43
- Citations by year
- 2022: 2 · 2021: 2 · 2016: 1 · 2015: 1 · 2014: 1 · 2013: 1 · 2012: 2
- FWCI
- 4.44
- Type
- journal article
- Language
- en
- Open access
- green
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- Technische Universität Dortmund Eldorado (Technische Universität Dortmund) (submittedVersion)
- Technische Universität Dortmund Eldorado (Technische Universität Dortmund)
- 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
- spin foam models, quantum general relativity, perturbative finiteness, Lorentzian signature, background independence, four-dimensional quantum gravity, triangulation
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