Скачать или смотреть Victor Nador - Double scaling limit of the quartic $O(N)^3$-tensor model

This talk was part of the of the Master Class and Workshop on "Higher Structures Emerging from Renormalisation" held at the ESI November 8 - 19, 2021.

In this talk, I will present the quartic O(N)^3 tensor model. This model has two different quartic interactions. The 1/N expansion is governed by a parameter called the degree. Graphs contributing to the leading order of this expansion are known as melonic graphs and form a summable family of graph. In the continuum limit (or double scaling limit), the subleading order contributions are enhanced and graphs of any degree contribute. Despiet not knowing all the graphs contributing to a given degree, we can through the use of combinatorial techniques, we can characterize exactly the relevant graphs and compute the two-point function of the model in this limit.