The Background Effective Average Action Approach to Quantum Gravity

Abstract

We construct a consistent closure for the beta functions of the cosmological and Newton’s constants by evaluating the influence that the anomalous dimensions of the fluctuating metric and ghost fields have on their renormalization group flow. In this generalized framework we confirm the presence of an UV attractive non-Gaussian fixed-point, which we find characterized by real critical exponents. Our closure method is general and can be applied systematically to more general truncations of the gravitational effective average action.