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

2011/12/30 by Joseph Ben Geloun, Geloun, Joseph Ben, Dine Ousmane Samary +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum many-body systems #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1201.0176

42 pages, 14 figures; improved version, some statements corrected, more comments

openalex publication_date 2011/12/30 · arxiv created 2012/09/21 · arxiv updated 2015/03/19 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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.

Citations

• A Renormalizable 4-Dimensional Tensor Field Theory

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• Some classes of renormalizable tensor models

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