Speaker
Description
Asymptotic safety is a UV completion of quantum gravity most commonly realized via a non-trivial fixed point of the Functional Renormalization Group (FRG) flow. The FRG takes the metric as the carrier field of the gravitational degrees of freedom, and the effective action functionals depend on the metric in a diffeomorphism-invariant way.
In my talk, I will introduce an approach to compute the RG flow of relational observables which evolve from their microscopic expressions towards the full quantum expectation value. As a first application I will consider four scalar fields coupled to gravity to represent the physical coordinate frame from which relational observables can be constructed.
This allows access to universal critical exponents of the observables. As such the computation of these scaling relations can serve as a way to compare with different approaches to quantum gravity.
