PIRSA:12010131 Scientific Series Quantum Gravity

DOI10.48660/12010131

Series: Quantum Gravity

Baratin, A. (2012). Group Field Theory and Simplicial Path Integrals. Perimeter Institute. https://pirsa.org/12010131

Baratin, Aristide. Group Field Theory and Simplicial Path Integrals. Perimeter Institute, Jan. 11, 2012, https://pirsa.org/12010131 

@misc{ pirsa_PIRSA:12010131,
  doi = {10.48660/12010131},
  url = {https://pirsa.org/12010131},
  author = {Baratin, Aristide},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Group Field Theory and Simplicial Path Integrals},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {jan},
  note = {PIRSA:12010131 see, \url{https://pirsa.org}}
}

Abstract

Group field theories show up as a higher dimensional generalization of matrix models in background independent approaches to quantum gravity.
Their Feynman expansion generates simplicial complexes of all topologies weighted by spin foam amplitudes.
In this talk, we will present a dual formulation of these theories as non-commutative quantum fields theories, whose variables have a clear interpretation in terms of simplicial geometry. We will show that it gives a geometrically clear ways to define spin foam models for gravity which can be cast as

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