Overview

In this textbook for graduate students in physics the author carefully analyses the role of causality in Q.E.D. This new approach avoids ultraviolet divergences, so that the detailed calculations of scattering processes and proofs can be carried out in a mathematically rigorous manner. Significant themes such as renormalizability, gauge invariance, unitarity, renormalization group, interacting fields and axial anomalies are discussed. The extension of the methods to non-abelian gauge theories is briefly described. The book differs considerably from its first edition: Chap. 3 on Causal Perturbation Theory was completely rewritten and Chap. 4 on Properties of the S-Matrix and Chap. 5 on Other Electromagnetic Couplings are new.

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9783642633454

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From the reviews: In the summary on the back cover the unheard-of statement appears that now the first (mathematically) rigorous textbook on Quantum Electrodynamics was on hand. ... In fact, Finite Quantum Electrodynamics does justice to this claim. And, in addition, in a pregnant, lifely form. On 220 pages G. Scharf (Zurich) succeeds in presenting a concise description of QED ... As promised, only finite quantities appear ... In Russia I often feel frustrated that I studied Latin in school and Russian was not offered. Now I have the same feeling after reading Scharf's book. I studied the wrong grammar up to now. #Translated from a review by Thomas Schucker in Physik in unserer Zeit#1

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