PIRSA:14050001

Group Field Theory in dimension 4 - ε

Carrozza, S. (2014). Group Field Theory in dimension 4 - ε. Perimeter Institute. https://pirsa.org/14050001

Carrozza, Sylvain. Group Field Theory in dimension 4 - ε. Perimeter Institute, May. 01, 2014, https://pirsa.org/14050001 

          @misc{ pirsa_PIRSA:14050001,
            doi = {10.48660/14050001},
            url = {https://pirsa.org/14050001},
            author = {Carrozza, Sylvain},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Group Field Theory in dimension 4 - ε},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050001 see, \url{https://pirsa.org}}
          }

Sylvain Carrozza University of Burgundy

Talk numberPIRSA:14050001
DOI10.48660/14050001
Collection
Talk Type Scientific Series
Subject

Abstract

Rank 3 tensorial group fields theories with gauge invariance condition appear to be renormalizable on dimension 3 groups such as SU(2), but also on dimension 4 groups. Building on an analogy with ordinary scalar field theories, I will generalize such models to group dimension 4 - ε, and discuss what this might teach us about the physically relevant SU(2) case.