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

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This paper cites Background Independent Quantum Field Theory and Gravitating Vacuum Fluctuations.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Background Independent Quantum Field Theory and Gravitating Vacuum Fluctuations

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Group field theory and simplicial quantum gravity

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Levels of spacetime emergence in quantum gravity

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Ten questions on Group Field Theory (and their tentative answers)

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory The group field theory approach to quantum gravity: some recent results

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This paper cites From General Relativity to Quantum Gravity.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory From General Relativity to Quantum Gravity

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

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Loop quantum gravity and quanta of space: A Primer,

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

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Zakopane lectures on loop gravity

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Loop quantum gravity: the first twenty five years

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Quantum gravity represented as dynamical triangulations,

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

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Quantum Gravity via Causal Dynamical Triangulations

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Particle Models and Noncommutative Geometry (Expanded Ver- sion),

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Intersecting connes noncommutative geometry with quan- tum gravity,

Reference 17

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This paper cites Spin foam quantization of SO(4) Plebanski's action.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Spin foam quantization of SO(4) Plebanski's action

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This paper cites A quantum field theory of simplicial geometry and the emergence of spacetime.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory A quantum field theory of simplicial geometry and the emergence of spacetime

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Cosmological implications of interacting Group Field Theory models: cyclic Universe and accelerated expansion

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This paper cites Quantum Cosmology from Group Field Theory Condensates: a Review.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Quantum Cosmology from Group Field Theory Condensates: a Review

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Cosmological perturbations from full quantum gravity

Reference 22

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics

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

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

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory What is a particle?

Reference 26

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory The complete 1/N expansion of colored tensor models in arbitrary dimension

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory The 1/N expansion of colored tensor models in arbitrary dimension

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

Reference 29

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

Reference 30

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Colored Tensor Models - a Review

Reference 31

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory The 1/N expansion of colored tensor models

Reference 32

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory 2D Gravity and Random Matrices

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory A Renormalizable 4-Dimensional Tensor Field Theory

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory 3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Two and four-loop $\beta$-functions of rank 4 renormalizable tensor field theories

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Some classes of renormalizable tensor models

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order

Reference 39

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions

Reference 40

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Just Renormalizable TGFT's on U(1)^d with Gauge Invariance

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Renormalization group and critical phenomena. 1. Renormalization group and the Kadanoﬀ scaling picture,

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Renormalization group and critical phenomena. 2. Phase space cell analysis of critical behavior,

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Exact evolution equation for the effective potential

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Average Action and the Renormalization Group Equations,

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Effective average action in statistical physics and quantum field theory

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Error estimates and specification parameters for functional renormalization

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory An Introduction to the Nonperturbative Renormalization Group

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Analytical Solutions of Exact Renormalization Group Equations

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

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Derivative expansion and renormalisation group flows

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Lectures on renormalization and asymptotic safety

Reference 54

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)

Reference 55

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Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Non perturbative renormalization group and momentum dependence of n-point functions (II)

Reference 56

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Observation ca09647a-b5b5-4319-adc7-c12e040050cd · outbound

This paper cites Truncation Effects in the Functional Renormalization Group Study of Spontaneous Symmetry Breaking.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Truncation Effects in the Functional Renormalization Group Study of Spontaneous Symmetry Breaking

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:23.055381Z

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Observation 89941a82-7a81-46b4-99ae-acfc51a3821b · outbound

This paper cites Phase transition of four-dimensional Ising model with higher-order tensor renormalization group.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

Reference 58

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Observation f9f91be5-a6f6-45f9-a14c-52d46c1f350f · outbound

This paper cites Quantum spacetime and the renormalization group: Progress and visions.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Quantum spacetime and the renormalization group: Progress and visions

Reference 59

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Observation 0a588fbd-e2b1-4680-b744-c687b8910c5f · outbound

This paper cites The renormalization group equations revisited.

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

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:23.023352Z

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Observation 6076bb11-3992-4f7f-96ae-1bbac9006ced · outbound

This paper cites Phase transitions in group field theory: The Landau perspective.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Phase transitions in group field theory: The Landau perspective

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:23.010186Z

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Observation 2a4bffd9-c008-43a8-b54d-83d50f17b41f · outbound

This paper cites Functional Renormalisation Group analysis of Tensorial Group Field Theories on $\mathbb{R}^d$.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Functional Renormalisation Group analysis of Tensorial Group Field Theories on $\mathbb{R}^d$

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.995008Z

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Observation 194f94b4-d011-4b19-bccd-6befa61c6c4c · outbound

This paper cites Functional Renormalisation Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Functional Renormalisation Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$

Reference 63

Resolution: malformed identifier; local_arxiv, observed 2026-08-14T14:05:22.981757Z

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Observation c185d806-7202-49ff-a00d-34fd32111323 · outbound

This paper cites Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.602536Z

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Observation 9f37a611-e6fb-4b29-bd18-6a075e66e631 · outbound

This paper cites Discrete Renormalization Group for SU(2) Tensorial Group Field Theory.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Discrete Renormalization Group for SU(2) Tensorial Group Field Theory

Reference 65

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Observation 31dfdee7-6e23-41cd-82b0-af0d276296b8 · outbound

This paper cites Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation

Reference 66

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.949574Z

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Observation 03a6f43a-e763-4b7d-8211-09d9e13fe58f · outbound

This paper cites Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.613692Z

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Observation 399a6d26-d117-4e47-a008-c3fbeda552fb · outbound

This paper cites Status of background-independent coarse-graining in tensor models for quantum gravity.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Status of background-independent coarse-graining in tensor models for quantum gravity

Reference 68

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Observation b3cd613f-3511-4b79-b407-efc0c2c3f535 · outbound

This paper cites Functional Renormalization Group analysis of rank 3 tensorial group field theory: The full quartic invariant truncation.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Functional Renormalization Group analysis of rank 3 tensorial group field theory: The full quartic invariant truncation

Reference 69

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.916825Z

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Observation 13825094-5cdc-404c-a790-18e3256fc054 · outbound

This paper cites Functional renormalization group for the $U(1)$-$T_5^6$ tensorial group field theory with closure constraint.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Functional renormalization group for the $U(1)$-$T_5^6$ tensorial group field theory with closure constraint

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.623983Z

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Observation f2694b89-8bb4-4415-a63d-ee43898a266a · outbound

This paper cites Functional Renormalization Group Approach for Tensorial Group Field Theory: A Rank-6 Model with Closure Constraint.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Functional Renormalization Group Approach for Tensorial Group Field Theory: A Rank-6 Model with Closure Constraint

Reference 71

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.891800Z

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Observation 30765eaf-ff72-441f-b31e-2ccdacfa814b · outbound

This paper cites Line of fixed points in a bosonic tensor model.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Line of fixed points in a bosonic tensor model

Reference 72

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Observation a2c25440-13af-4c7d-be0b-f411e9b43b44 · outbound

This paper cites Group Field Theory in dimension four minus epsilon.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Group Field Theory in dimension four minus epsilon

Reference 73

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.867293Z

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Observation e095ef9b-d212-49b5-84b3-e1eed53f572a · outbound

This paper cites Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.639714Z

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Observation ef0b714f-0b1f-40e0-97f7-4e43d68c3837 · outbound

This paper cites Phase Transition in Dually Weighted Colored Tensor Models.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Phase Transition in Dually Weighted Colored Tensor Models

Reference 75

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.843100Z

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Observation 95c2fb64-6324-4b4f-a171-0400f376e56e · outbound

This paper cites Ward-constrained melonic renormalization group flow.

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

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.647568Z

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Observation 76d93435-f876-490e-a55d-51387aaa431d · outbound

This paper cites Progress in the solving nonperturbative renormalization group for tensorial group field theory.

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

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.651175Z

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Observation ef62fc43-a157-4083-a8e0-248c28f59af6 · outbound

This paper cites Ward identity violation for melonic $T^4$-truncation.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Ward identity violation for melonic $T^4$-truncation

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.654993Z

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Observation 0fd70659-5d2d-467d-8bfe-21e0b2166a24 · outbound

This paper cites Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.658887Z

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Observation 39d9546a-7471-4643-b9b5-a3de6446197f · outbound

This paper cites Unitary symmetry constraints on tensorial group field theory renormalization group flow.

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

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.663716Z

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Observation f758f255-716b-46ee-a4f6-cc2ae4ac493c · outbound

This paper cites Closed equations of the two-point functions for tensorial group field theory.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Closed equations of the two-point functions for tensorial group field theory

Reference 81

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:05:22.777392Z

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Observation b583ddb1-c240-4537-8feb-b852389fe8eb · outbound

This paper cites Correlation functions of just renormalizable tensorial group field theory: The melonic approximation.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory Correlation functions of just renormalizable tensorial group field theory: The melonic approximation

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.670676Z

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Observation 537763a0-dc96-4515-a0f1-f99f8e3f9f1b · outbound

This paper cites From perturbative to nonperturbative renormalizationin Tensorial Group Field Theories,.

Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory From perturbative to nonperturbative renormalizationin Tensorial Group Field Theories,

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-14T14:05:22.673697Z

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