Fixed Points of Quantum Gravity

Euclidean quantum gravity is studied with renormalization group methods. Analytical results for a nontrivial ultraviolet fixed point are found for arbitrary dimensions and gauge fixing parameters in the Einstein-Hilbert truncation. Implications for quantum gravity in four dimensions are discussed.

Figure 1

Running of couplings according to (6, 8).

Figure 2

The separatrix in four dimensions.

Figure 3

Running of couplings along the separatrix.