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

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arxiv 1201.0176 v2 pith:QYPYK463 submitted 2011-12-30 hep-th gr-qcmath-phmath.MP

Joseph Ben Geloun , Dine Ousmane Samary This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords modelbetafunctionsone-looprenormalizationtensoruniqueanalogue
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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 $\gamma$- 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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Cited by 2 Pith papers

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  1. Redundant moments of non-melonic random tensor models: simplifying the tensor bootstrap

    math-ph 2026-07 accept novelty 6.0 of 10

    At large N, every melonic observable’s moment and its Schwinger–Dyson equation depend only on its degree, in arbitrary (including non-melonic) tensor models.

  2. Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives

    gr-qc 2024-11 unverdicted novelty 4.0 of 10

    The paper argues that an effective 'hydrodynamics on superspace' framework, realized in TGFT condensate cosmology, can unify quantum gravity and cosmology.

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