Double scaling limit of the quartic $O(N)^3$-tensor model

Victor Nador (U Bordeaux)

Nov 08. 2021, 14:50 — 15:15

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.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures Emerging from Renormalisation (Graduate School)
Pierre Clavier (U of Haut-Alsace)
Kurusch Ebrahimi-Fard (NTNU, Trondheim)
Peter K. Friz (TU Berlin)
Harald Grosse (U of Vienna)
Dominique Manchon (U Clerment Auvergne)
Sylvie Paycha (U of Potsdam)
Sylke Pfeiffer (U of Potsdam)