Speaker
Description
Functional renormalization group methods are a powerful tool to study the effect of statistical and quantum fluctuations. They also apply to theories including fluctuations in the spacetime metric, where they provide non-trivial evidence for the Reuter fixed point underlying the gravitational asymptotic safety program. Similarly to Wilson-Fisher fixed point visible in three-dimensional scalar field theory, the Reuter fixed point constitutes an non-trivial renormalization group fixed point on the space of theories constructed from the spacetime metric. In this talk, I will give a brief introduction to the functional renormalization group and summarize the key properties of the Reuter fixed point. Special emphasis will be on quantities which potentially lend themselves to a comparison with other computational methods. Current limitations and future perspectives related to the approach will be discussed as well.
