PIRSA:20100012 Scientific Series Quantum Gravity

DOI10.48660/20100012

Series: Quantum Gravity

Knorr, B. (2020). Renormalisation and momentum dependence in Quantum Gravity. Perimeter Institute. https://pirsa.org/20100012

Knorr, Benjamin. Renormalisation and momentum dependence in Quantum Gravity. Perimeter Institute, Oct. 01, 2020, https://pirsa.org/20100012 

@misc{ pirsa_PIRSA:20100012,
  doi = {10.48660/20100012},
  url = {https://pirsa.org/20100012},
  author = {Knorr, Benjamin},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Renormalisation and momentum dependence in Quantum Gravity},
  publisher = {Perimeter Institute},
  year = {2020},
  month = {oct},
  note = {PIRSA:20100012 see, \url{https://pirsa.org}}
}

Abstract

Renormalisation in curved spacetimes is an involved subject. In contrast to renormalisation in a flat spacetime, the standard momentum representation is not directly available. Nevertheless, the momentum dependence of correlation functions is crucial to deciding whether a theory is unitary and causal. I will discuss how to define a notion of momentum dependence in gravity on a fundamental level. With this at hand, one can discuss an important quantum field theory observable: scattering cross sections. Taking the example of gravity-mediated scalar scattering, I will discuss conditions that a quantum field theory of gravity has to fulfil to have a well-behaved scattering amplitude. These can be satisfied without the introduction of massive higher spin modes as is done in string theory. Finally, I will review the status of first principle calculations of the non-perturbative momentum dependence of quantum gravity correlation functions.

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