Constructive tensor field theory: the \(T_{4}^{4}\) model

DOI10.1007/s00220-019-03369-9zbMath1417.81148arXiv1703.06510OpenAlexW3102460303MaRDI QIDQ1731119

Fabien Vignes-Tourneret, Vincent Rivasseau

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1703.06510

zbMATH Keywords

tensor field theoryblock bosonic integralsmultiscale loop vertex expansionperturbative functional integral bounds

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Constructive quantum field theory (81T08)

Related Items

Notes on tensor models and tensor field theories, Constructive tensor field theory, SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry, Borel summability of the \(1/N\) expansion in quartic \(\mathrm{O}(N)\)-vector models, Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories, Constructive expansion for vector field theories I. Quartic models in low dimensions, Constructive matrix theory for higher-order interaction, Unitary symmetry constraints on tensorial group field theory renormalization group flow, Melonic large \(N\) limit of \(5\)-index irreducible random tensors

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