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Cited by 220Noncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsRelativity and Gravitational Theory

Further evidence for asymptotic safety of quantum gravity

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Falls, K., Litim, D., Nikolakopoulos, K., Rahmede, C.·2016·Physical Review D
DOI 10.1103/physrevd.93.104022
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Abstract

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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  • Extensions incorporating higher-order curvature invariants suggest a finite-dimensional UV critical surface spanned by two or three relevant directions in the gravitational sector.

    “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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Authors
Falls, K., Litim, D., Nikolakopoulos, K., & Rahmede, C.
Affiliations
  • University of Sussex (GB)
  • Karlsruhe Institute of Technology (DE)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2016-05-11
Volume
93
Issue
10
ISSN
  • 2470-0010 (ISSN-L)
  • 2470-0029
DOI
10.1103/physrevd.93.104022
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 · 2015: 3 · 2014: 1
FWCI
16.98
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
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 › Statistical and Nonlinear 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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