Holographic RG flows and quantum effective actions Seminar

The AdS/ CFT correspondence offers a geometric realization of the quantum field theory renormalizaion group flows. I will describe the  connection between QFT local RG transformations and radial  diffeomorphisms, and show how beta-functions for space-time-dependent  couplings can be computed from the bulk Einstein equations. Using a derivative expansion, I will show how one can write general, explicit expressions for the renormalized holographic generating functional, whose independence of the radial coordinate gives rise to holographic  RG equations governed by the same beta-functions.