Speaker
Description
One of the most important structural aspects of functional renormalization techniques in the context of gauge theories is how to control
gauge dependence along the flow. This is typically reduced to the discussion of gauge-parameter dependence. In some situations, with
(quantum) gravity being a paradigmatic example, the use of a background-field gauge fixing is very convenient. Thus, background-field
dependence is intimately related to gauge dependence. In this talk, I will present some thoughts on the use of dressed gauge fields in order
to establish a connection between gauge-fixed flow equations with gauge-invariant proposals in the case of Yang-Mills theories and how to
potentially generalize to quantum gravity. Moreover, I will introduce the concept of extended modified Slavnov-Taylor identity which controls
gauge-parameter and background-field dependencies in a single functional identity instead of the usual separation between Slavnov-Taylor
and Split Ward identities.
