Just Renormalizable TGFT's on U(1)d with Gauge Invariance
Abstract
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 phi46 and phi65 random tensor models. We also deduce that the phi45 tensor model is super-renormalizable.
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