# Just Renormalizable TGFT’s on U(1)d with Gauge Invariance

@article{Samary2012JustRT, title={Just Renormalizable TGFT’s on U(1)d with Gauge Invariance}, author={Dine Ousmane Samary and Fabien Vignes-Tourneret}, journal={Communications in Mathematical Physics}, year={2012}, volume={329}, pages={545-578} }

We study the polynomial Abelian or U(1)d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. We prove the just renormalizability at all orders of perturbation of the $${\varphi^4_6}$$φ64 and $${\varphi^6_5}$$φ56 random tensor models. We also deduce that the $${\varphi^4_5}$$φ54 tensor model is super-renormalizable.

## 86 Citations

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