Titlebook: Quantum Field Theory; Proceedings of the R Peter Breitenlohner,Dieter Maison Conference proceedings 2000 Springer-Verlag Berlin Heidelberg

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Normal Products and the Short Distance Expansion in the Perturbation Theory of Renormalizable InteraNormal products are defined in perturbation theory for renormalizable interactions of a scalar field. Various identities involving normal products are derived. As an application Wilson’s asymptotic short distance expansion is verified in perturbation theory for a product of two field operators.

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The Power Counting Theorem for Feynman Integrals with Massless PropagatorsDyson’s power counting theorem is extended to the case where some of the mass parameters vanish. Weinberg’s ultraviolet convergence conditions are supplemented by infrared convergence conditions which combined are sufficient for the convergence of Feynman integrals.

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Peter Breitenlohner,Dieter MaisonIncludes supplementary material:

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Operator Product Expansion, Renormalization Group and Weak Decayse use this opportunity to summarize briefly the present status of the next-to-leading QCD corrections to weak decays and their implications for the unitarity triangle, the ratio ?/ε; the radiative decay . → ..γ, and the rare decays . and ..

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The Bogoliubov Renormalization Group in Theoretical and Mathematical Physicsoverlaps with corresponding text of my previous commemorative paper - see Ref. [.] in the list. At the same time second part includes some recent results in QFT (Sect. 2.1) and summarize (Sect. 2.4) an impressive progress of the “QFT renormalization group” application in mathematical physics.

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On the Bound State Problem in Quantum Field Theorynd stale can be described by a local and invariant field opcralor. For sinplieity only the case of spin zero particles and bound states is considered; however, the extension to other cases is possible.

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Conference proceedings 2000y. It was decided to write them up and publish them in this book, together with reprints of some seminal papers of the laureate. Thus, this volume deepens our understanding of anomalies, algebraic renormalization theory, axiomatic field theory and of much more while illuminating the past and present

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