Ward-constrained melonic renormalization group flow

Abstract

In recent years, interesting investigations of the nonperturbative renormalization group equations for tensorial group field theories have been performed in the truncation method, while completely discarding the Ward identities from their analysis. In this letter, in continuation of our recent series of papers, we present a new framework of the investigation, namely, the effective vertex expansion, allowing us to consider infinite sectors rather than finite-dimensional subspaces of the full theory space. We focus on the ultraviolet behavior and provide a new and complete description of the renormalization group flow constrained with Ward identities.