PIRSA:08120046 Conference Quantum Gravity

DOI10.48660/08120046

Conference/School: Young Researchers Conference 2008

Pereira, R. (2008). Loop quantum gravity vertex for spin foam gravity. Perimeter Institute. https://pirsa.org/08120046

Pereira, Roberto. Loop quantum gravity vertex for spin foam gravity. Perimeter Institute, Dec. 12, 2008, https://pirsa.org/08120046 

@misc{ pirsa_PIRSA:08120046,
  doi = {10.48660/08120046},
  url = {https://pirsa.org/08120046},
  author = {Pereira, Roberto},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Loop quantum gravity vertex for spin foam gravity},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {dec},
  note = {PIRSA:08120046 see, \url{https://pirsa.org}}
}

Abstract

New spin foam models for gravity have been recently proposed to deal with the shortcomings of the Barrett-Crane model. In particular, they draw a closer connection between the Loop Quantum Gravity and the Spin Foam approaches to non perturbative quantum gravity. In this talk, I will present the construction for the case of Lorentzian signature and finite Immirzi parameter. An area operator can be defined and its spectrum agrees with the one defined in LQG. Finally, the amplitude is shown to be finite after a suitable regularization.

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