Titlebook: Renormalization Theory; Proceedings of the N G. Velo,A. S. Wightman Conference proceedings 1976 D. Reidel Publishing Company, Dordrecht, Ho

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Renormalized Perturbation Theory: Achievements, Limitations and Open Problems,There are now so many renormalizable techniques available that one cannot conceive of any renormalizable Lagrangian deserving its name which cannot be treated by one or the other method.. This state of affairs contrasts for example with the situation concerning nonabelian gauge theories some years a

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Quantum Sine-Gordon Equation and Quantum Solitons in Two Space-Time Dimensions,y in the framework of renormalizable quantum field theories which, one hopes, may be relevant for the . (not only the mathematics) of quantized fields and elementary particles. Participants of this school wanted to learn something non-trivial about: ultraviolet renormalization, infrared power counti

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Non-Perturbative Renormalization in the Yukawa Model In Two Dimensions,to an infinite boson mass renormalization. But if we want to go beyond perturbation theoretic methods, we have to be very modest, at least for the time being. After two-dimensional polynomially self-interacting fields (which have no ultraviolet divergences) have been treated successfully by the cons

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,Remark on Equivalent Formulations for Bogoliubov’s Method of Renormalization, finite. The renormalized Feynman integrals are then formed by subtracting counter terms which are constructed according to certain combinatorial rules. As has been shown by Hepp the renormalized Feynman integrals thus defined approach distributions when the regularization is removed and the limit ε→ + 0 is taken.

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Ritts Satz über asymptotische Reihenentwicklung, welcher einen berühmten Satz von E. Borel enthält. Das Buch kann als Lehrbuch für Anfänger dienen, aber es ist mehr: Ein Werk, das allen Mathematikern die Funktionentheorie näherbringen kann." #.Elemente der Mathematik.#1978-3-642-97397-0Series ISSN 0937-7433 Series E-ISSN 2512-5214