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THE USES OF CONNES AND KREIMER'S ALGEBRAIC FORMULATION OF RENORMALIZATION THEORY

HÉCTOR FIGUEROA

Department of Mathematics, Universidad de Costa Rica, 2060 San Pedro, Costa Rica

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and

JOSÉ M. GRACIA-BONDÍA

Department of Physics, Universidad de Costa Rica, 2060 San Pedro, Costa Rica

Department of Theoretical Physics, Universidad de Zaragoza, 50009 Zaragoza, Spain

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https://doi.org/10.1142/S0217751X04017835Cited by:8 (Source: Crossref)

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.

Keywords:

PACS: 11.10.Gh, 02.20.Uw

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