Regulator dependence of fixed points in quantum Einstein gravity with $R^2$ truncation

Understand

We performed a functional renormalization group analysis for the quantum Einstein gravity including a quadratic term in the curvature.

• The ultraviolet non-gaussian fixed point and its critical exponent for the correlation length are identified for different forms of regulators in case of dimension 3.
• We searched for that optimized regulator where the physical quantities show the least regulator parameter dependence.
• It is shown that the Litim regulator satisfies this condition.