A Combinatorial Perspective on Quantum Field Theory

DOI10.1007/978-3-319-47551-6zbMath1360.81007OpenAlexW2552239609MaRDI QIDQ2830739

Karen Yeats

Publication date: 31 October 2016

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

Full work available at URL: https://doi.org/10.1007/978-3-319-47551-6

zbMATH Keywords

Feynman graphquantum fieldscombinatorial Dyson-Schwinger equationscombinatorial classescombinatorial physical theory

Mathematics Subject Classification ID

Trees (05C05) General and philosophical questions in quantum theory (81P05) Feynman diagrams (81T18) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Axiomatic quantum field theory; operator algebras (81T05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Physics (00A79) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30) Combinatorics (educational aspects) (97K20)

Related Items (14)

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations ⋮ Some results on double triangle descendants of \(K_5\) ⋮ On multimatrix models motivated by random noncommutative geometry. II: A Yang-Mills-Higgs matrix model ⋮ An exact solution method for the enumeration of connected Feynman diagrams ⋮ Graphons and renormalization of large Feynman diagrams ⋮ Gauge symmetries and renormalization ⋮ Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions ⋮ An asymptotic expansion for the number of two-connected chord diagrams ⋮ The combinatorics of a tree-like functional equation for connected chord diagrams ⋮ Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions ⋮ The complexities of nonperturbative computations ⋮ Connected chord diagrams and bridgeless maps ⋮ Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs ⋮ Towards a more algebraic footing for quantum field theory

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