PIRSA:09120113 Scientific Series Quantum Gravity

DOI10.48660/09120113

Series: Quantum Gravity

Dowdall, R. (2009). Asymptotics of the Ponzano-Regge model for handlebodies. Perimeter Institute. https://pirsa.org/09120113

Dowdall, Richard. Asymptotics of the Ponzano-Regge model for handlebodies. Perimeter Institute, Dec. 16, 2009, https://pirsa.org/09120113 

@misc{ pirsa_PIRSA:09120113,
  doi = {10.48660/09120113},
  url = {https://pirsa.org/09120113},
  author = {Dowdall, Richard},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Asymptotics of the Ponzano-Regge model for handlebodies},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {dec},
  note = {PIRSA:09120113 see, \url{https://pirsa.org}}
}

Abstract

The asymptotic formula for the Ponzano-Regge model amplitude is given for non-tardis triangulations of handlebodies in the limit of large boundary spins. The formula produces a sum over all possible immersions of the boundary triangulation in three dimensional Euclidean space weighted by the cosine of the Regge action evaluated on these immersions. Furthermore the asymptotic scaling registers the existence of flexible immersions.

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