A new large \(N\) expansion for general matrix-tensor models

DOI10.1007/s00220-019-03511-7zbMath1480.81107arXiv1709.07366OpenAlexW2963740819MaRDI QIDQ2323505

Guillaume Valette, Frank Ferrari, Vincent Rivasseau

Publication date: 3 September 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07366

Mathematics Subject Classification ID

Feynman diagrams (81T18) Continuum limits in quantum field theory (81T27) Matrix models and tensor models for quantum field theory (81T32)

Related Items (19)

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 ⋮ Near conformal perturbation theory in SYK type models ⋮ Hints of unitarity at large \(N\) in the \(O(N)^3\) tensor field theory ⋮ SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry ⋮ On the large D expansion of Hermitian multi-matrix models ⋮ Spontaneous symmetry breaking in tensor theories ⋮ Tensorial Gross-Neveu models ⋮ Gauge theory formulation of hyperbolic gravity ⋮ Instability of complex CFTs with operators in the principal series ⋮ Melonic turbulence ⋮ The \(1 / N\) expansion of the symmetric traceless and the antisymmetric tensor models in rank three ⋮ The large \(D\) limit of planar diagrams ⋮ Sextic tensor field theories in rank 3 and 5 ⋮ Conformal symmetry and composite operators in the \(O(N )^3\) tensor field theory ⋮ Melonic large \(N\) limit of \(5\)-index irreducible random tensors ⋮ Double scaling limit of multi-matrix models at large D

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