1211.2618 (Dine Ousmane Samary et al.)

Just Renormalizable TGFT's on $U(1)^{d}$ with Gauge Invariance    [PDF]

Dine Ousmane Samary, Fabien Vignes-Tourneret

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 $\vp^4_6$ and $\vp^6_5$ random tensor models. We also deduce that the $\vp^4_5$ tensor model is super-renormalizable.

View original: http://arxiv.org/abs/1211.2618