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Further evidence for asymptotic safety of quantum gravity
Open accessAbstract
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalization group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The extrapolation to infinite polynomial order is given, and the self-consistency of the fixed point is established using a bootstrap test. All details of our analysis are provided. We also clarify further aspects such as stability, convergence, the role of boundary conditions, and a partial degeneracy of eigenvalues. Within this setting we find strong support for the conjecture.
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“Other extensions, incorporating higher-order curvature invariants [32][33][34][35][36], have reinforced this picture and suggested a finite-dimensional UV critical surface spanned by two or three relevant directions in the gravitational sector [33,37,38].”
From Charting GLOBs in asymptotically safe gravity (2026) · cites this paper as [37]
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Metadata
- Authors
- Falls, K., Litim, D., Nikolakopoulos, K., & Rahmede, C.
- Affiliations
- University of Sussex (GB)
- Karlsruhe Institute of Technology (DE)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2016-05-11
- Volume
- 93
- Issue
- 10
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W1562148528
- Cited by
- 220
- References
- 69
- Citations by year
- 2026: 14 · 2025: 16 · 2024: 15 · 2023: 16 · 2022: 14 · 2021: 25 · 2020: 26 · 2019: 26 · 2018: 30 · 2017: 24 · 2016: 10
- FWCI
- 16.98
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D/Physical review. D. (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Sussex Research Online (University of Sussex) (submittedVersion)
- Figshare (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Science and Technology Facilities Council (ST/J000477/1, ST/L000504/1)
- Alexander S. Onassis Public Benefit Foundation (F-ZG066/2010-2011)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- asymptotic safety, quantum gravity, renormalization group, ultraviolet fixed point, scalar curvature, bootstrap tests, fixed point stability, eigenvalue degeneracy, boundary conditions, four-dimensional gravity
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