The Universal Renormalization Group Machine - 1
APA
Saueressig, F. (2017). The Universal Renormalization Group Machine - 1. Perimeter Institute. https://pirsa.org/17060091
MLA
Saueressig, Frank. The Universal Renormalization Group Machine - 1. Perimeter Institute, Jun. 23, 2017, https://pirsa.org/17060091
BibTex
@misc{ pirsa_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}, year = {2017}, month = {jun}, note = {PIRSA:17060091 see, \url{https://pirsa.org}} }
Radboud Universiteit Nijmegen
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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.