The Euclidean three-point function in loop and perturbative gravity
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We compute the leading order of the three-point function in loop quantum gravity, using the vertex expansion of the Euclidean version of the new spin foam dynamics, in the region of γ < 1. We find results consistent with Regge calculus in the limit γ → 0, j → ∞. We also compute the tree-level three-point function of perturbative quantum general relativity in position space and discuss the possibility of directly comparing the two results.
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Higher-order correlation functions computed for the new models agree with Regge gravity in the γ → 0 limit.
“Higher-order correlation functions have been computed in [337]; the results are in agreement with Regge gravity in the γ → 0 limit.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [337]
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Self-citation
- Authors
- Rovelli, C., & Zhang, M.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- ORCID
- Zhang, Mingyi
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2011-08-12
- Volume
- 28
- Issue
- 17
- Pages
- 175010
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2011281980
- Cited by
- 31
- References
- 57
- Citations by year
- 2022: 1 · 2021: 1 · 2020: 1 · 2019: 1 · 2018: 3 · 2017: 1 · 2016: 1 · 2015: 4 · 2014: 3 · 2013: 5 · 2012: 9
- FWCI
- 4.36
- 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 › 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-point functions, loop quantum gravity, vertex expansion, Euclidean quantum gravity, Regge calculus, position space, tree-level Feynman diagrams
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