PIRSA:14110129

UV completion in Group Field Theories

Carrozza, S. (2014). UV completion in Group Field Theories. Perimeter Institute. https://pirsa.org/14110129

Carrozza, Sylvain. UV completion in Group Field Theories. Perimeter Institute, Nov. 20, 2014, https://pirsa.org/14110129 

          @misc{ pirsa_PIRSA:14110129,
            doi = {10.48660/14110129},
            url = {https://pirsa.org/14110129},
            author = {Carrozza, Sylvain},
            keywords = {Quantum Gravity},
            language = {en},
            title = {UV completion in Group Field Theories},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {nov},
            note = {PIRSA:14110129 see, \url{https://pirsa.org}}
          }

Sylvain Carrozza

University of Burgundy

Talk number
PIRSA:14110129
Collection
Talk Type
Subject
Abstract

I will review recent work on tensorial group field theories (TGFTs). The renormalization methods being developed in this context provide more and more control over their field-theoretic structures, and for models which increasingly resemble loop quantum gravity. Perhaps surprisingly, some of these models are asymptotically free and can therefore be made sense of at arbitrary values of the (abstract) scale with respect to which they are organized. They define in this sense UV complete quantum field theories. I will focus on TGFTs with gauge invariance condition, which allow for such a behavior but also for more complicated scenarii involving non-trivial fixed points of the renormalization group flow. I will finally comment on the physical relevance of this notion of UV completion.