Renormalized Quantum Field Theory

Renormalized Quantum Field Theory



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English | PDF | 1990 | 537 Pages | ISBN : 9027727589 | 31.6 MB

This book is concerned with the mathematical aspects of renormalization theory. Part of it was written in 1978 and published under the title 'Renormalized Feynman Diagrams' -in Russian in 1979. The present English edition is, in a sense, a quite new book. The old text has been thoroughly revised and new chapters have been added.
The aim of the book is to present the main results on renormaliza- tion in a mathematically rigorous and complete way. The first chapter is introductory - it contains all necessary preliminary information on conventional quantum field theory. Renormalization on the level of individual diagrams is considered in Chapter III. The basic tool here is the a-parametric representation for the renormalized Feynman amplitudes .• The latter allows the most adequate approach to problems of convergence, asymptotic behaviour, etc. The a-parametric technique is developed in Chapter II. Sophisticated as it might seem, it supplies a deeper insight into the structure of Feynman diagrams.

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