Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory

DOI10.1088/1751-8113/48/48/485204zbMath1331.83021arXiv1507.03548OpenAlexW3103522281MaRDI QIDQ3458733

Remi Cocou Avohou, Adrian Tanasa, Vincent Rivasseau

Publication date: 21 December 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03548

zbMATH Keywords

Hochschild cohomologyrenormalizationHopf algebracombinatorics of the Dyson-Schwinger equation: beta functionsFeynman tensor graph Hopf subalgebrasrenormalization of the quartic melonic tensor model

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization of the gravitational field (83C45) Hopf algebras and their applications (16T05)

Related Items (5)

Extending the Tutte and Bollobás–Riordan polynomials to rank 3 weakly coloured stranded graphs ⋮ The multi-orientable random tensor model, a review ⋮ Ward identities and combinatorics of rainbow tensor models ⋮ Random tensors and quantum gravity ⋮ Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs

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