Graph complexes and Feynman rules

DOI10.4310/CNTP.2023.v17.n1.a4MaRDI QIDQ2686781

Marko Berghoff, Dirk Kreimer

Publication date: 28 February 2023

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09540

zbMATH Keywords

renormalizationHopf algebraFeynman graphFeynman rulesFeynman diagramgraph homologycoactionLandau singularitiesmoduli space of graphsgraph complexLandau equationscomplex of graphsCutkosky ruleslooptree duality

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Homological algebra in category theory, derived categories and functors (18Gxx)

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