Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
High Energy Physics - Theory
2014-03-11 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1211.2618,
title = {Just Renormalizable TGFT's on U(1)^d with Gauge Invariance},
author = {Dine Ousmane Samary and Fabien Vignes-Tourneret},
journal= {arXiv preprint arXiv:1211.2618},
year = {2014}
}
Comments
33 pages, 22 figures. One added paragraph on the different notions of connectedness, preciser formulation of the proof of the power counting theorem, more general statements about traciality of tensor graphs