Polynomial functors and combinatorial Dyson–Schwinger equations

DOI10.1063/1.4977012zbMath1431.81087arXiv1512.03027OpenAlexW3099757472MaRDI QIDQ2981022

Joachim Kock

Publication date: 8 May 2017

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

Full work available at URL: https://arxiv.org/abs/1512.03027

Mathematics Subject Classification ID

Trees (05C05) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Axiomatic quantum field theory; operator algebras (81T05) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Hopf algebras and their applications (16T05) Green's functions for elliptic equations (35J08)

Related Items (8)

Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory ⋮ Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness ⋮ Differential 2-rigs ⋮ Feynman diagrams and their algebraic lattices ⋮ (WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Faà di Bruno for operads and internal algebras ⋮ On two constructions of an effective field theory

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