3D Tensor Field Theory: Renormalization and One-loop $β$-functions

Details 3D Tensor Field Theory: Renormalization and One-loop $β$-functions 3D Tensor Field Theory: Renormalization and One-loop $β$-functions

2011-12-30

arxiv.org/abs/1201.0176v1

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 13 figures

Scientific paper

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.

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