Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
classification
✦ hep-th
gr-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 1 Pith paper
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Functional Renormalization Group for a Rank-4 Renormalizable Tensorial Group Field Theory with Derivative Necklace Couplings
A nontrivial ultraviolet fixed point emerges in the functional renormalization group analysis of a rank-4 tensorial group field theory with derivative necklace couplings.
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