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arXiv · 1211.2618

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

Dine Ousmane Samary·Fabien Vignes-Tourneret
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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 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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Dine Ousmane Samary, Fabien Vignes-Tourneret. 2013-01-29. Just Renormalizable TGFT's on U(1)^d with Gauge Invariance. https://doi.org/10.1007/s00220-014-1930-3

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