I will introduce quartic melonic tensor field theories, a class of field theories built using a non-local quartic interaction term. These resemble the more well-known φd4 models but behave differently with regards to power-counting and the structure of their divergences. In particular, these models are conjectured to be non-trivial in their critical dimension, in contrast with φ44. I will then report on recent joint work with Ajay Chandra where we use stochastic analysis methods to construct the φ24 and φ34 analogues of these models.
This video was produced by the University of Münster, as part of the workshop Stochastic Analysis meets QFT – critical theory.
