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arXiv · 1201.0176

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

Joseph Ben Geloun·Dine Ousmane Samary
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Abstract

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 $γ$- and $β$-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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Joseph Ben Geloun, Dine Ousmane Samary. 2012-09-21. 3D Tensor Field Theory: Renormalization and One-loop $β$-functions. https://arxiv.org/abs/1201.0176

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