2013/11/30 by Dario Benedetti, Filippo Guarnieri · 2 citations
Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Brans–Dicke theory #Cosmology and Gravitation Theories #Equivalence (formal languages) #Fixed point #Gauge (firearms) #Gauge theory #Gravitation #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Renormalization #Renormalization group #Theoretical physics #Ultraviolet fixed point #gr-qc #hep-th
paper · pdf · doi:10.1088/1367-2630/16/5/053051
published as New J. Phys. 16 (2014) 053051 · 34 pages, 8 figures; v2: corrected some misprints, added a new figure, four new references and some clarifying comments
arxiv created 2014/01/29 · openalex publication_date 2014/05/29 · arxiv updated 2014/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the Brans–Dicke theory with arbitrary potential within a functional renormalization group framework. Motivated by the asymptotic safety scenario of quantum gravity and by the well-known relation between f ( R ) gravity and Brans–Dicke theory at the classical level, we concentrate our analysis on the fixed-point equation for the potential in four dimensions and with Brans–Dicke parameter . For two different choices of gauge, we study the resulting equations by examining both the local and global properties of the solutions, by means of analytical and numerical methods. As a result of our analysis we do not find any nontrivial fixed point in one gauge, but we find a continuum of fixed points in the other one. We interpret such an inconsistency as a result of the restriction to , and thus we suggest that it indicates a failure of the equivalence between f ( R ) gravity and Brans–Dicke theory at the quantum level.