Operads and the Hopf algebras of renormalisation

Details Operads and the Hopf algebras of renormalisation Operads and the Hopf algebras of renormalisation

2003-11-10

arxiv.org/abs/math-ph/0311013v1

Physics

Mathematical Physics

19 pages, 2 figures

Scientific paper

Functors from (co)operads to bialgebras relate Hopf algebras that occur in renormalisation to operads, which simplifies the proof of the Hopf algebra axioms, and induces a characterisation of the corresponding group of characters and Lie algebra of primitives of the dual in terms of the operad. In addition, it is shown that the Wick rotation formula leads to canonical algebras for one of these operads.

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