3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions
High Energy Physics - Theory
2015-03-19 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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 - and -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.
Cite
@article{arxiv.1201.0176,
title = {3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions},
author = {Joseph Ben Geloun and Dine Ousmane Samary},
journal= {arXiv preprint arXiv:1201.0176},
year = {2015}
}
Comments
42 pages, 14 figures; improved version, some statements corrected, more comments