PIRSA:14040112 Conference

DOI10.48660/14040112

Conference/School: Renormalization Group Approaches to Quantum Gravity

Carrozza, S. (2014). Renormalization group approach to 3d group field theory. Perimeter Institute. https://pirsa.org/14040112

Carrozza, Sylvain. Renormalization group approach to 3d group field theory. Perimeter Institute, Apr. 25, 2014, https://pirsa.org/14040112 

@misc{ pirsa_PIRSA:14040112,
  doi = {10.48660/14040112},
  url = {https://pirsa.org/14040112},
  author = {Carrozza, Sylvain},
  keywords = {},
  language = {en},
  title = {Renormalization group approach to 3d group field theory},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {apr},
  note = {PIRSA:14040112 see, \url{https://pirsa.org}}
}

Abstract

I will start with a brief overview of tensorial group field theories with gauge invariant condition and their relation to spin foam models. The rest of the talk will be focused on the SU(2) theory in dimension 3, which is related to Euclidean 3d quantum gravity and has been proven renormalizable up to order 6 interactions. General renormalization group flow equations will be introduced, allowing in particular to understand the behavior of the relevant couplings in the neighborhood of the Gaussian fixed point. I will close with preliminary investigations about the existence of a non-trivial fixed point.

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