The Universal Renormalization Group Machine - 1

          @misc{ scivideos_PIRSA:17060091,
            doi = {10.48660/17060091},
            url = {https://pirsa.org/17060091},
            author = {Saueressig, Frank},
            keywords = {Quantum Gravity},
            language = {en},
            title = {The Universal Renormalization Group Machine - 1},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {jun},
            note = {PIRSA:17060091 see, \url{https://scivideos.org/index.php/pirsa/17060091}}
          }
          

Abstract

Functional renormalization group techniques based on Wetterichs equation provide a powerful tool for studying the properties of gravity in the quantum regime and its connection to the observable low-energy world. Explicit computations in this framework require the evaluation of functional traces over operator-valued functions. In these lectures I will give a pedagogical introduction to the Universal Renormalization Group Machine, a combinatorial algorithm which allows evaluating such traces in a systematic way. Moreover, I will discuss flow equations for “composite operators” which may pave the route towards developing a microscopic description of quantum spacetime within the Asymptotic Safety approach.