Split Weyl transformations in quantum gravity

Understand

We discuss various realizations of the Weyl group in the background field expansion of quantum gravity, in the presence of a cutoff, as required in applications of the functional renormalization group.

• In order to study the background--dependence, special attention is given to split gauge transformations, which act on the background field and fluctuation keeping the total metric unchanged.
• The results generalize previous works on global and local scale transformations.