PIRSA:12010132

Tensor Field Theory: Renormalization and One-loop Beta Functions

Ben Geloun, J. (2012). Tensor Field Theory: Renormalization and One-loop Beta Functions. Perimeter Institute. https://pirsa.org/12010132

Ben Geloun, Joseph. Tensor Field Theory: Renormalization and One-loop Beta Functions. Perimeter Institute, Jan. 12, 2012, https://pirsa.org/12010132 

          @misc{ pirsa_PIRSA:12010132,
            doi = {10.48660/12010132},
            url = {https://pirsa.org/12010132},
            author = {Ben Geloun, Joseph},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Tensor Field Theory: Renormalization and One-loop Beta Functions},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {jan},
            note = {PIRSA:12010132 see, \url{https://pirsa.org}}
          }

Joseph Ben Geloun Laboratoire d'Informatique de Paris-Nord (LIPN)

DOI 10.48660/12010132
Collection
Talk Type Scientific Series
Subject

Abstract

Tensor models appear as the higher dimensional extension of the so-called matrix models describing 2D quantum gravity through the sum over triangulations of surfaces. In the light of the recent $1/N$ expansion for these tensor models, we uncover a new class of tensor models for 4D and 3D gravity which are renormalizable at all orders of perturbation theory. An overview of two papers, [arXiv:1111.4997 [hep-th]] and [arXiv:1201.0176 [hep-th]], on the renormalization of these tensor models and their beta function will be given.