Tensorial Gross-Neveu models

DOI10.1007/JHEP01(2018)003zbMath1384.81077arXiv1710.10253MaRDI QIDQ1745413

Sylvain Carrozza, Razvan Gurau, Dario Benedetti, Alessandro Sfondrini

Publication date: 17 April 2018

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

Full work available at URL: https://arxiv.org/abs/1710.10253

zbMATH Keywords

renormalization group1/N expansionfield theories in lower dimensionsnonperturbative effects

Mathematics Subject Classification ID

Model quantum field theories (81T10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (18)

Notes on tensor models and tensor field theories ⋮ An introduction to the SYK model ⋮ 2PI effective action for the SYK model and tensor field theories ⋮ Multiple scaling limits of \(\mathrm{U} (N)^2 \times \mathrm{O} (D)\) multi-matrix models ⋮ Perturbative quantum field theory on random trees ⋮ Large \(N\) limit of irreducible tensor models: \(\mathrm{O}(N)\) rank-3 tensors with mixed permutation symmetry ⋮ Hints of unitarity at large \(N\) in the \(O(N)^3\) tensor field theory ⋮ SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry ⋮ Sextic tensor model in rank 3 at next-to-leading order ⋮ \( \mathcal{N}=\left(0,\;2\right) \) SYK, chaos and higher-spins ⋮ A complex fermionic tensor model in \(d\) dimensions ⋮ A renormalizable SYK-type tensor field theory ⋮ Diagrammatic proof of the large \(N\) melonic dominance in the SYK model ⋮ Line of fixed points in a bosonic tensor model ⋮ The \(1 / N\) expansion of the symmetric traceless and the antisymmetric tensor models in rank three ⋮ 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

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