Addendum to "A Renormalizable 4-Dimensional Tensor Field Theory"

Abstract

This note fills a gap in the article with title above [1]. We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.

10 pages, 5 figures, tiny changes in Lemma 4

References in corpus (4)

• Random tensor models in the large N limit: Uncoloring the colored tensor models
• Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions
• Some classes of renormalizable tensor models
• Two and four-loop $\beta$-functions of rank 4 renormalizable tensor field theories

Cited by in corpus (28)

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• The Tensor Track, III
• Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
• Counting Tensor Model Observables and Branched Covers of the 2-Sphere
• Flowing in Group Field Theory Space: a Review
• Some classes of renormalizable tensor models
• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Functional Renormalization Group Approach for Tensorial Group Field Theory: A Rank-6 Model with Closure Constraint
• Correlation functions of just renormalizable tensorial group field theory: The melonic approximation
• Closed equations of the two-point functions for tensorial group field theory
• Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four
• Combinatorial Hopf algebra for the Ben Geloun-Rivasseau tensor field theory
• On the finite amplitudes for open graphs in Abelian dynamical colored Boulatov-Ooguri models
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• Beta functions of $U(1{)}^d$ gauge invariant just renormalizable tensor models
• Tensor Models, Kronecker coefficients and Permutation Centralizer Algebras
• Random Tensors and Quantum Gravity
• Constructive tensor field theory: The $T_4^4$ model
• Parametric Representation of Rank d Tensorial Group Field Theory: Abelian Models with Kinetic Term ${\sum }_s|p_s|+\mu$
• Renormalizable Models in Rank $d\ge 2$ Tensorial Group Field Theory
• Renormalization of a tensorial field theory on the homogeneous space SU(2)/U(1)
• Nontrivial UV behavior of rank-4 tensor field models for quantum gravity
• A Renormalizable SYK-type Tensor Field Theory
• Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
• Intermediate Field Representation for Positive Matrix and Tensor Interactions
• A power counting theorem for a $p^{2a}{\varphi }^4$ tensorial group field theory
• Can we make sense out of "Tensor Field Theory"?