Curvature dependence of quantum gravity

Understand

We investigate the phase diagram of quantum gravity with a vertex expansion about constantly-curved backgrounds.

• The graviton two- and three-point function are evaluated with a spectral sum on a sphere.
• We obtain, for the first time, curvature-dependent UV fixed point functions of the dynamical fluctuation couplings $g^*(R)$, $\mu^*(R)$, and $\lambda_3^*(R)$, and the background $f(R)$-potential.
• Based on these fixed point functions we compute solutions to the quantum and the background equation of motion with and without Standard Model matter.