Curvature dependence of quantum gravity with scalars

Abstract

We compute curvature-dependent graviton correlation functions and couplings as well as the full curvature potential $f(R)$ in asymptotically safe quantum gravity coupled to scalars. The setup is based on a systematic vertex expansion about metric backgrounds with constant curvatures initiated in arXiv:1711.09259 for positive curvatures. We extend these results to negative curvature and investigate the influence of minimally coupled scalars. The quantum equation of motion has two solutions for all accessible numbers of scalar fields. We observe that the solution at negative curvature is a minimum, while the solution at positive curvature is a maximum. We find indications that the solution to the equation of motions for scalar-gravity systems is at large positive curvature, for which the system might be stable for all scalar flavours.

arXiv comment10 pages, 5 figures

Cited by in corpus (12)

• The nonperturbative functional renormalization group and its applications
• Light charged fermions in quantum gravity
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotically Safe Gravity with Fermions
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Asymptotic freedom and safety in quantum gravity
• Provable properties of asymptotic safety in $f(R)$ approximation
• On characterizing the Quantum Geometry underlying Asymptotic Safety
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Asymptotically Safe Gravity-Fermion systems on curved backgrounds