PIRSA:14040134 Scientific Series Quantum Gravity

DOI10.48660/14040134

Series: Quantum Gravity

Vignes-Tourneret, F. (2014). Quantum Gravity, Trees, and Polynomials. Perimeter Institute. https://pirsa.org/14040134

Vignes-Tourneret, Fabien. Quantum Gravity, Trees, and Polynomials. Perimeter Institute, Apr. 03, 2014, https://pirsa.org/14040134 

@misc{ pirsa_PIRSA:14040134,
  doi = {10.48660/14040134},
  url = {https://pirsa.org/14040134},
  author = {Vignes-Tourneret, Fabien},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Quantum Gravity, Trees, and Polynomials},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {apr},
  note = {PIRSA:14040134 see, \url{https://pirsa.org}}
}

Abstract

The perturbative series of colored group field theory are governed by a combinatorial 1/N-expansion. Controlling its coefficients is essential in order to understand the continuum limit. I will show how such a program is naturally related to higher-dimensional generalizations of trees in a colored Boulatov-Ooguri model, and present some partial results on the enumeration of such strucures in melonic graphs. This talk is mainly based on recent results by Baratin, Carrozza, Oriti, Ryan, and Smerlak ("Melonic phase transition in group field theory". arXiv: 1307.5026).

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