PIRSA:12010131

Group Field Theory and Simplicial Path Integrals

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}}
          }

Aristide Baratin SAIT AI Lab Montreal

DOI 10.48660/12010131
Collection
Talk Type Scientific Series
Subject

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