Pre-Lie algebras and Hopf algebras related to renormalization (Q2738882)
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scientific article; zbMATH DE number 1643162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pre-Lie algebras and Hopf algebras related to renormalization |
scientific article; zbMATH DE number 1643162 |
Statements
13 December 2001
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ladder Hopf algebras
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Feynman diagrams
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Butcher \(B\)-series
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pre-Lie algebras
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Connes-Moscovici Hopf algebras
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Hopf algebras of renormalization
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rooted trees
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Pre-Lie algebras and Hopf algebras related to renormalization (English)
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The notion of a pre-Lie algebra, provided in this paper, is used to give a concise common starting point to recently used algebraic structures in the theory of renormalization; among them are: Connes-Moscovici Hopf algebra, Hopf algebra of renormalization, and series indexed by rooted trees (Butcher \(B\)-series), which establish a connection between numerical integration and renormalization.
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