PIRSA:17060092 Conference Quantum Gravity

DOI10.48660/17060092

Conference/School: Making Quantum Gravity Computable

Saueressig, F. (2017). The Universal Renormalization Group Machine - 2. Perimeter Institute. https://pirsa.org/17060092

Saueressig, Frank. The Universal Renormalization Group Machine - 2. Perimeter Institute, Jun. 23, 2017, https://pirsa.org/17060092 

@misc{ pirsa_PIRSA:17060092,
  doi = {10.48660/17060092},
  url = {https://pirsa.org/17060092},
  author = {Saueressig, Frank},
  keywords = {Quantum Gravity},
  language = {en},
  title = {The Universal Renormalization Group Machine - 2},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {jun},
  note = {PIRSA:17060092 see, \url{https://pirsa.org}}
}

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.

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