PIRSA:09050006 Scientific Series Quantum Gravity

DOI10.48660/09050006

Series: Quantum Gravity

Hamber, H. (2009). Quantum Gravitation and the Renormalization Group. Perimeter Institute. https://pirsa.org/09050006

Hamber, Herbert. Quantum Gravitation and the Renormalization Group. Perimeter Institute, May. 13, 2009, https://pirsa.org/09050006 

@misc{ pirsa_PIRSA:09050006,
  doi = {10.48660/09050006},
  url = {https://pirsa.org/09050006},
  author = {Hamber, Herbert},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Quantum Gravitation and the Renormalization Group},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {may},
  note = {PIRSA:09050006 see, \url{https://pirsa.org}}
}

Abstract

In my talk I will provide an overview of the applications of Wilson's modern renormalization group (RG) to problems in quantum gravity. I will first discuss the development of the RG for continuum gravity within the framework of Feynman's covariant path integral approach. Then I will discuss a number of issues that arise when implementing the path integral approach with an explicit lattice UV regulator, and later how non-perturbative RG flows and universal non-trivial scaling dimensions can in principle be extracted from these calculations. Towards the end I will discuss recent attempts at formulating RG flows for gravitational couplings within the framework of a set of manifestly covariant, but non-local, effective field equations suitable for quantum cosmology.

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