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Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
Published 12 Nov 2012 in hep-th, gr-qc, math-ph, and math.MP | (1211.2618v2)
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 phi4_6 and phi6_5 random tensor models. We also deduce that the phi4_5 tensor model is super-renormalizable.
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