PIRSA:21020020

Video URL

https://pirsa.org/21020020

Melonic field theories

Benedetti, D. (2021). Melonic field theories. Perimeter Institute for Theoretical Physics. https://pirsa.org/21020020

Benedetti, Dario. Melonic field theories. Perimeter Institute for Theoretical Physics, Feb. 11, 2021, https://pirsa.org/21020020 

          @misc{ scivideos_PIRSA:21020020,
            doi = {10.48660/21020020},
            url = {https://pirsa.org/21020020},
            author = {Benedetti, Dario},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Melonic field theories},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {feb},
            note = {PIRSA:21020020 see, \url{https://scivideos.org/index.php/pirsa/21020020}}
          }

Dario Benedetti Ecole Polytechnique - CPHT

Talk numberPIRSA:21020020
DOI10.48660/21020020
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The melonic limit of a field theory is a large-N limit in which melonic diagrams dominate, thus differing significantly from the cactus and planar limits of vector and matrix models. It was first discovered in tensor models in zero dimensions, viewed as an approach to quantum gravity, and later in the SYK model. More recently, it has found applications in quantum field theory on a fixed (flat) background as an analytic tool for the study of new fixed points of the renormalization group, i.e. new conformal field theories. In this talk, I will review the main features of the melonic limit, and in view of the recent developments I will revisit an old model by Amit and Roginsky with SO(3) internal symmetry, which is neither a tensor model nor a disordered model like SYK, and yet it has a similar melonic limit. Time permitting, I will also comment on similarities with the fishnet model by Kazakov et al, and on the (in)stability of all such models when complex scaling dimensions appear.