Large \(N\) limit of irreducible tensor models: \(\mathrm{O}(N)\) rank-3 tensors with mixed permutation symmetry

DOI10.1007/JHEP06(2018)039zbMath1395.81155arXiv1803.02496WikidataQ114233519 ScholiaQ114233519MaRDI QIDQ1671836

Sylvain Carrozza

Publication date: 7 September 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02496

zbMATH Keywords

matrix models\(1/N\) expansionnonperturbative effects

Mathematics Subject Classification ID

Model quantum field theories (81T10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

Related Items

Notes on tensor models and tensor field theories, Double scaling limit for the O(N)³-invariant tensor model, Multiple scaling limits of \(\mathrm{U} (N)^2 \times \mathrm{O} (D)\) multi-matrix models, Perturbative quantum field theory on random trees, Quantum mechanics of bipartite ribbon graphs: integrality, lattices and Kronecker coefficients, Universal critical behavior in tensor models for four-dimensional quantum gravity, SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry, Duality of orthogonal and symplectic random tensor models: general invariants, Duality of O(N) and Sp(N) random tensor models: tensors with symmetries, Non-perturbative defects in tensor models from melonic trees, On the large D expansion of Hermitian multi-matrix models, Towards background independent quantum gravity with tensor models, A renormalizable SYK-type tensor field theory, Diagrammatic proof of the large \(N\) melonic dominance in the SYK model, Melonic turbulence, Diagrammatics of the quartic O(N)3-invariant Sachdev-Ye-Kitaev-like tensor model, On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory, Sextic tensor field theories in rank 3 and 5, Melonic large \(N\) limit of \(5\)-index irreducible random tensors, Double scaling limit of multi-matrix models at large D

Cites Work

• Unnamed Item
• Unnamed Item
• New \(1/N\) expansions in random tensor models
• Regular colored graphs of positive degree
• Melonic phase transition in group field theory
• Colored tensor models -- a review
• Melons are branched polymers
• 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
• Random matrices and holographic tensor models
• Quantum field theory in the large \(N\) limit: a review
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• More on the new large \(D\) limit of matrix models
• The spectrum in the Sachdev-Ye-Kitaev model
• The \(1/N\) expansion of tensor models with two symmetric tensors
• 2PI effective action for the SYK model and tensor field theories
• Quantum chaos and holographic tensor models
• On large \(N\) limit of symmetric traceless tensor models
• Tensorial Gross-Neveu models
• Contrasting SYK-like models
• A complex fermionic tensor model in \(d\) dimensions
• A renormalizable 4-dimensional tensor field theory
• Just renormalizable TGFT's on \(U(1)^d\) with gauge invariance
• Discrete renormalization group for \(\mathrm{SU}(2)\) tensorial group field theory
• The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
• Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions
• The \(1/N\) expansion of multi-orientable random tensor models
• Renormalization of a \(\mathrm{SU}(2)\) tensorial group field theory in three dimensions
• The \(1/N\) expansion of tensor models beyond perturbation theory
• Phase transition in tensor models
• Functional renormalization group approach for tensorial group field theory: a rank-6 model with closure constraint
• Graphs on Surfaces
• Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders