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Martin Reuter

University of Mainz, Germany

Title: Asymptotic safety in quantum gravity: Renormalizability and beyond

Biography

Biography: Martin Reuter

Abstract

In this talk a general introduction to the main ideas and achievements of the asymptotic safety approach to quantum gravity will be given. In particular the functional renormalization group for gravity is briefly reviewed. The asymptotic safety program aims at constructing a consistent quantum field theory of gravity and spacetime geometry which complies with a number of indispensable physical principles such as Hilbert space positivity and background independence in addition to nonperturbative renormalizability. We will discuss recent work on some of these requirements in a simplified two-dimensional setting where the tools of conformal field theory are available.