PIRSA:12010131

Group Field Theory and Simplicial Path Integrals

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2012},
            month = {jan},
            note = {PIRSA:12010131 see, \url{https://scivideos.org/index.php/pirsa/12010131}}
          }
          

Aristide Baratin SAIT AI Lab Montreal

Talk numberPIRSA:12010131
Source RepositoryPIRSA
Collection

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