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- W4300515730 abstract "In recent years, the usual BPHZ algorithm for renormalization in perturbative quantum field theory has been interpreted, after dimensional regularization, as a Birkhoff decomposition of characters on the Hopf algebra of Feynman graphs, with values in a Rota-Baxter algebra of amplitudes. We associate in this paper to any such algebra a universal semi-group (different in nature from the Connes-Marcolli cosmical Galois group). Its action on the physical amplitudes associated to Feynman graphs produces the expected operations: Bogoliubov's preparation map, extraction of divergences, renormalization. In this process a key role is played by commutative and noncommutative quasi-shuffle bialgebras whose universal properties are instrumental in encoding the renormalization process." @default.
- W4300515730 created "2022-10-03" @default.
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- W4300515730 date "2018-01-01" @default.
- W4300515730 modified "2023-10-09" @default.
- W4300515730 title "Renormalization: a quasi-shuffle approach" @default.
- W4300515730 hasPublicationYear "2018" @default.
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