The 1/N Expansion in Random Tensor Models
APA
Gurau, R. (2012). The 1/N Expansion in Random Tensor Models. Perimeter Institute. https://pirsa.org/12050055
MLA
Gurau, Razvan. The 1/N Expansion in Random Tensor Models. Perimeter Institute, May. 07, 2012, https://pirsa.org/12050055
BibTex
@misc{ pirsa_PIRSA:12050055, doi = {10.48660/12050055}, url = {https://pirsa.org/12050055}, author = {Gurau, Razvan}, keywords = {}, language = {en}, title = {The 1/N Expansion in Random Tensor Models}, publisher = {Perimeter Institute}, year = {2012}, month = {may}, note = {PIRSA:12050055 see, \url{https://pirsa.org}} }
Universität Heidelberg
Collection
Talk Type
Abstract
Matrix models yield a theory of random two dimensional surfaces. They support a 1/N expansion dominated by planar graphs (corresponding to planar surfaces) and undergo a phase transition to a continuum theory. In higher dimensions matrix models generalize to tensor models. In the absence of a viable 1=N expansion, tensor models have for a long time been less successful in providing a theory of random higher dimensional spaces. This situation has drastically changed recently. Models for a non-symmetric complex tensor have been shown to admit a 1/N expansion dominated by graphs of spherical topology in arbitrary dimensions and to undergo a phase transition to a continuum theory. I will present an overview of these results and discuss their implications.