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The uses of Connes and Kreimer's algebraic formulation of renormalization theory

Hector Figueroa·Jose M. Gracia-Bondia
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Abstract

We show how, modulo the distinction between the antipode and the "twisted" or "renormalized" antipode, Connes and Kreimer's algebraic paradigm trivializes the proofs of equivalence of the (corrected) Dyson-Salam, Bogoliubov-Parasiuk-Hepp and Zimmermann procedures for renormalizing Feynman amplitudes. We discuss the outlook for a parallel simplification of computations in quantum field theory, stemming from the same algebraic approach.

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Hector Figueroa, Jose M. Gracia-Bondia. 2004-07-05. The uses of Connes and Kreimer's algebraic formulation of renormalization theory. https://doi.org/10.1142/s0217751x04017835

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