Global flows in quantum gravity

2014/03/31 by Nicolai Christiansen, Benjamin Knorr, Jan M. Pawlowski +1 · 5 citations
Mathematics · Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling constant #Fixed point #Infrared fixed point #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Physics #Propagator #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Renormalization #Renormalization group #Semiclassical gravity #Thermal quantum field theory #Ultraviolet fixed point #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.93.044036

published as Phys. Rev. D 93, 044036 (2016) · 18 pages,7 figures, typos in introduction and appendix A fixed

arxiv created 2014/04/15 · openalex publication_date 2016/02/12 · arxiv updated 2016/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study four-dimensional quantum gravity using nonperturbative renormalization group methods. We solve the corresponding equations for the fully momentum-dependent propagator, Newtons coupling and the cosmological constant. For the first time, we obtain a global phase diagram where the non-Gaussian ultraviolet fixed point of asymptotic safety is connected via smooth trajectories to a classical infrared fixed point. The theory is therefore ultraviolet complete and deforms smoothly into classical gravity as the infrared limit is approached.

Citations

• Light fermions in quantum gravity
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory. II.
• Exact renormalization group equations: an introductory review
• The Invar tensor package
• Fixed Points of Quantum Gravity
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Constraints on matter from asymptotic safety
• Quark confinement from colour confinement
• Exact evolution equation for the effective potential
• Renormalization group approach towards the QCD phase diagram
• Asymptotic safety in higher-derivative gravity
• Asymptotically free scalar curvature-ghost coupling in quantum Einstein gravity
• Asymptotic freedom of Yang–Mills theory with gravity

Cited by

• The nonperturbative functional renormalization group and its applications
• Light charged fermions in quantum gravity
• Quantum gravity on foliated spacetimes: Asymptotically safe and sound
• Renormalization group fixed points of foliated gravity-matter systems
• An asymptotically safe solution to the U(1) triviality problem