Invitation to Tensor Models in Quantum Field Theory

by Hannes Keppler (Heidelberg University)

Thursday 22 May 2025, 14:00 → 15:30 Europe/Berlin

Abbeanum/1-HS2 - Straubel-HS (TPI, FSU Jena)

I will review random tensor models and explain how they lead to an
interesting class of quantum field theory models.
Random tensor models generalize random matrix models and have their
origins in quantum gravity. By promoting the tensors to fields living on
a d-dimensional spacetime, one obtains so-called tensor field theories.
The most important feature of tensor models is their "melonic" large-N
limit, that allows for non-trivial, systematic resummations of
correlation functions.  These models provide examples of analytically
tractable quantum field theories, lead to a novel class of conformal
field theories, and can be used to construct a UV asymptotically free
field theory in d=4.