Ward identity violation for melonic \(T^{4}\)-truncation

DOI10.1016/j.nuclphysb.2019.01.005zbMath1409.83068arXiv1809.06081OpenAlexW2889593215MaRDI QIDQ1731672

Vincent Lahoche, Dine Ousmane Samary

Publication date: 13 March 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06081

zbMATH Keywords

Wetterich flow equation

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (8)

The phase diagram of the multi-matrix model with \textit{ABAB} interaction from functional renormalization ⋮ Phase transitions in TGFT: functional renormalization group in the cyclic-melonic potential approximation and equivalence to \(\mathrm{O}(N)\) models ⋮ Universal critical behavior in tensor models for four-dimensional quantum gravity ⋮ Ward-constrained melonic renormalization group flow ⋮ The nonperturbative functional renormalization group and its applications ⋮ Quantum Spacetime and the Renormalization Group: Progress and Visions ⋮ Towards background independent quantum gravity with tensor models ⋮ On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory

Cites Work

• Unnamed Item
• The complete 1/\(N\) expansion of a SYK-like tensor model
• The \(1/N\) expansion of colored tensor models
• Critical behavior of colored tensor models in the large \(N\) limit
• Phase transition in dually weighted colored tensor models
• Notes on melonic O(\(N^{q-1}\)) tensor models
• Functional renormalisation group approach for tensorial group field theory: a rank-3 model
• Melonic turbulence
• Disappearance and emergence of space and time in quantum gravity
• 3D tensor field theory: renormalization and one-loop \(\beta \)-functions
• The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
• The tensor track, III
• The tensor theory space
• Functional renormalization group approach for tensorial group field theory: a rank-6 model with closure constraint
• Closed equations of the two-point functions for tensorial group field theory
• Unitary symmetry constraints on tensorial group field theory renormalization group flow
• Ultralocal nature of geometrogenesis
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• Emergent matter from 3D generalized group field theories
• Toward classical geometrodynamics from the group field theory hydrodynamics
• Asymptotic safety in three-dimensional SU(2) group field theory: evidence in the local potential approximation

This page was built for publication: Ward identity violation for melonic \(T^{4}\)-truncation