PIRSA:08100078 Scientific Series Quantum Gravity

DOI10.48660/08100078

Series: Quantum Gravity

Rosten, O. (2008). Triviality from the Exact Renormalization Group. Perimeter Institute. https://pirsa.org/08100078

Rosten, Oliver. Triviality from the Exact Renormalization Group. Perimeter Institute, Oct. 30, 2008, https://pirsa.org/08100078 

@misc{ pirsa_PIRSA:08100078,
  doi = {10.48660/08100078},
  url = {https://pirsa.org/08100078},
  author = {Rosten, Oliver},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Triviality from the Exact Renormalization Group},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {oct},
  note = {PIRSA:08100078 see, \url{https://pirsa.org}}
}

Abstract

After reviewing Wilson\'s picture of renormalization, and the associated Exact Renormalization Group, I will show that no (physically acceptable) non-trivial fixed points exist for scalar field theory in D>=4. Consequently, an asymptotic safety scenario is ruled out, and the triviality of the theory is confirmed.

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