2009/07/10 by Astrid Eichhorn, Holger Gies, Michael M. Scherer · 3 citations
Mathematics · Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Classical mechanics #Curvature #Einstein #Fixed point #Functional renormalization group #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Renormalization #Renormalization group #Scalar (mathematics) #Scalar curvature #Ultraviolet fixed point #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.80.104003
published as Phys.Rev.D80:104003,2009 · 8 pages, 3 figures, RevTeX
arxiv created 2009/07/10 · openalex publication_date 2009/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the asymptotic-safety scenario for quantum gravity which constructs a nonperturbatively renormalizable quantum gravity theory with the help of the functional renormalization group (RG). We verify the existence of a non-Gaussian fixed point and include a running curvature-ghost coupling as a first step towards the flow of the ghost sector of the theory. We find that the scalar curvature-ghost coupling is asymptotically free and RG relevant in the ultraviolet. Most importantly, the property of asymptotic safety discovered so far within the Einstein-Hilbert truncation and beyond remains stable under the inclusion of the ghost flow.