Perturbative renormalisation for not-quite-connected bialgebras
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Publication:746840
DOI10.1007/s11005-015-0785-7zbMath1325.81126arXiv1411.3098OpenAlexW1873389500MaRDI QIDQ746840
Publication date: 21 October 2015
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.3098
Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)
Related Items (7)
Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory ⋮ Decomposition spaces, incidence algebras and Möbius inversion. II: Completeness, length filtration, and finiteness ⋮ Antipodes of monoidal decomposition spaces ⋮ Polynomial functors and combinatorial Dyson–Schwinger equations ⋮ The Hopf algebra structure of the \(R^\ast\)-operation ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ Faà di Bruno for operads and internal algebras
Cites Work
- The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras
- Hopf algebras, renormalization and noncommutative geometry
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- Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory
- Categorification of Hopf algebras of rooted trees.
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees.
- Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion
- The Hopf algebra approach to Feynman diagram calculations
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