## 3D Tensor Field Theory: Renormalization and One-loop $β$-functions    [PDF]

Joseph Ben Geloun, Dine Ousmane Samary
We prove that the rank 3 analogue of the tensor model defined in [arXiv:1111.4997 [hep-th]] is renormalizable at all orders of perturbation. The proof is given in the momentum space. The one-loop $\gamma$- and $\beta$-functions of the model are also determined. We find that the model with a unique coupling constant for all interactions and a unique wave function renormalization is asymptotically free in the UV.
View original: http://arxiv.org/abs/1201.0176