Functional renormalization group for the U(1)-T$_5^6$ tensorial group field theory with closure constraint - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Phys.Rev.D Année : 2017

Functional renormalization group for the U(1)-T$_5^6$ tensorial group field theory with closure constraint

Résumé

This paper is focused on the functional renormalization group applied to the T56 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 completion of the theory. We show the existence of several nontrivial fixed points, study the behavior of the renormalization group flow around them, and point out evidence in favor of an asymptotically safe theory.

Dates et versions

hal-01554333 , version 1 (03-07-2017)

Identifiants

Citer

Vincent Lahoche, Dine Ousmane Samary. Functional renormalization group for the U(1)-T$_5^6$ tensorial group field theory with closure constraint. Phys.Rev.D, 2017, 95 (4), pp.045013. ⟨10.1103/PhysRevD.95.045013⟩. ⟨hal-01554333⟩
57 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More