Speaker
Description
We introduce an approach to compute the renormalization group flow of relational observables in quantum gravity which evolve from their microscopic expressions towards the full quantum expectation value. This can be achieved by using the composite operator formalism of the functional renormalization group. These methods can be applied to a large class of relational observables for different physical coordinate systems. As a first application we consider four scalar fields coupled to gravity to represent the physical coordinate frame from which relational observables can be constructed, such as the relational scalar curvature. We evaluate the scaling dimensions at the fixed point, both in the standard renormalization group scheme and in the essential scheme. This represents the first steps to describe running observables within Asymptotic Safety and allows access to universal critical exponents of the observables. As such the computation of these exponents can serve as a way to compare with different approaches to quantum gravity.
