Theoretical and Mathematical Physics

Finite Quantum Electrodynamics

The Causal Approach

Authors: Scharf, G.

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About this Textbook

In this textbook for graduate students in physics the author carefully analyses the role of causality in Quantum Electrodynamics. This new approach makes it possible to give full proofs and carry out the detailed calculations of scattering processes in a mathematically rigorous manner. The book begins with Dirac's theory, followed by the quantum theory of free fields, including a new approach to the external field problem. Chapter 3 is devoted to causal perturbation theory, a powerful method that avoids ultraviolet divergences and solves the infrared problem by means of the adiabatic limit. Chapter 4 is concerned with general properties of the S matrix, such as renormalizability, gauge invariance, and unitarity. The renormalization group and interacting fields are also discussed. In Chapter 5 other electrodynamic couplings are considered. The extension of the methods to non-abelian gauge theories is briefly described. This new edition is partially rewritten and contains two new chapters.

Reviews

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 Schücker in Physik in unserer Zeit#1

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-642-57750-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-642-63345-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Finite Quantum Electrodynamics
Book Subtitle
The Causal Approach
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1995
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-57750-5
DOI
10.1007/978-3-642-57750-5
Softcover ISBN
978-3-642-63345-4
Series ISSN
1864-5879
Edition Number
2
Number of Pages
X, 410
Topics