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Just Renormalizable TGFT's on U(1)^d with Gauge Invariance

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arxiv 1211.2618 v2 pith:FGS7N4EN submitted 2012-11-12 hep-th gr-qcmath-phmath.MP

classification hep-thgr-qcmath-phmath.MP
keywords gaugeinvariancejusttensorabeliananalysisconditiondeduce
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We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. From our analysis, we prove the just renormalizability at all orders of perturbation of the phi^4_6 and phi^6_5 random tensor models. We also deduce that the phi^4_5 tensor model is super-renormalizable.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group

    hep-th 2025-09 conditional novelty 5.0 of 10

    Extending a stochastic renormalization-group method for tensor group field theories to non-equilibrium, this paper finds that fluctuation-dissipation-violating couplings become large near finite-scale singularities, i...

  2. Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory

    hep-th 2019-08 reject novelty 4.0 of 10

    For the rank-4 φ6 tensorial group field theory, the authors derive a Ward-constrained renormalization group flow and report a nontrivial fixed point, but the fixed point's reported values violate their own consistency...

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