# Functional renormalization group for the U(1)-T-5(6) tensorial group field theory with closure constraint

@article{Lahoche2017FunctionalRG,
title={Functional renormalization group for the U(1)-T-5(6) tensorial group field theory with closure constraint},
author={Vincent Lahoche and Dine Ousmane Samary},
journal={Physical Review D},
year={2017},
volume={95},
pages={045013}
}
• Published 1 August 2016
• Mathematics, Physics
• Physical Review D
This paper is focused on the functional renormalization group applied to the $T_5^6$ tensor model on the Abelian group $U(1)$ with closure constraint. For the first time, we derive the flow equations for the couplings and mass parameters in a suitable truncation around the marginal interactions with respect to the perturbative power counting. For the second time, we study the behavior around the Gaussian fixed point, and show that the theory is nonasymptotically free. Finally, we discuss the UV…

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