Ward-constrained melonic renormalization group flow

Abstract

In recent years, some interesting investigations of the non-perturbative renormalization group equations for tensorial group field theories have been done in the truncation method, and 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 investigation, namely the effective vertex expansion, allowing 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.

arXiv comment8 pages

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Cited by in corpus (12)

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• Ward-constrained melonic renormalization group flow for the rank-four ${\varphi }^6$ tensorial group field theory
• Pedagogical comments about nonperturbative Ward-constrained melonic renormalization group flow
• Reliability of the local truncations for the random tensor models renormalization group flow
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Flowing in discrete gravity models and Ward identities: A review
• Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices
• No Ward-Takahashi identity violation for an Abelian tensorial group field theories with closure constraint
• Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories