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

Lahoche, Vincent; Ousmane Samary, Dine

doi:10.1103/PhysRevD.95.045013

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

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Ousmane Samary, Dine
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Lahoche, V., & Ousmane Samary, D. (2017). Functional renormalization group for the U(1)-T-5(6) tensorial group field theory with closure constraint. Physical Review D, 95(4): 045013. doi:10.1103/PhysRevD.95.045013.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-5FB8-D

Abstract

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. In a 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. In a second time, we study the behavior around the Gaussian fixed point, and show that the theory in non-asymptotically free. Finally, we discuss the UV completion of the theory. We show the existence of several non-trivial fixed points, study the behavior of the renormalization group flow around them, and point out evidence in favor of an asymptotically safe theory.