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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Joel S. Feldmanlassischen Differentialgeometrie. Das Problem ist wichtig für die Kartographie: jede Seite eines Atlas ist eine Abbildung eines Teils der Erd(kugel)oberfläche in die Ebene. Man weiß, daß es keine läng entreuen Atlanten geben kann; hingegen gibt es sehr wohl winkeltreue Atlanten (z.B. durch stereogra

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BPHZ Renormalization,Composite fields — local, covariant fields which are formally products of the “elementary” fields of a given theory — have played an important role in the theoretical developments of recent years, and promise to do so for many years to come.

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The Power Counting Theorem for Feynman Integrals with Massless Propagators,Dyson’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 necessary and sufficient for the absolute convergence of Euclidean Feynman integrals.

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Some Results on Dimensional Renormalization,In this lecture [1] we will give a definition of dimensionally regularized Feynman amplitudes and rules for the treatment of covariants (e.g. spin polynomials) which are quite different in spirit[2] from the ones given by Speer, but give equivalent results.

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,Existence of Green’s Functions in Perturbative Q. E. D.,The purpose of this lecture is to report on some work, done in collaboration with P. Blanchard [1], which shows how, in the framework developped by H. Epstein and V. Glaser [2] one can prove the existence of Green’s functions in quantum electrodynamics (Q. E. D.).

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