Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Phys.Rev.D Année : 2019

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory

Résumé

The nontrivial fixed point discovered for ϕ4-marginal couplings in tensorial group field theories has been shown to be incompatible with Ward-Takahashi identities. In a previous analysis, we have stated that the case of models with interactions of order greater than four could probably lead to a fixed point compatible with local Ward identities. In this paper, we focus on a rank-4 Abelian ϕ6-just-renormalizable tensorial group field theory and describe the renormalization group flow over the subtheory space where the Ward constraint is satisfied along the flow, by using an improved version of the effective vertex expansion. We show that this model exhibits a nontrivial fixed point in this constrained subspace. Finally, the well-known asymptotically freedom of this model is highlighted.

Dates et versions

hal-02302998 , version 1 (02-10-2019)

Identifiants

Citer

Vincent Lahoche, Dine Ousmane Samary. Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory. Phys.Rev.D, 2019, 100 (8), pp.086009. ⟨10.1103/PhysRevD.100.086009⟩. ⟨hal-02302998⟩
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