The Quantum Theory of Fields: Foundations v. 1
Cambridge University Press, 6/2/2005
EAN 9780521670531, ISBN10: 0521670535
Paperback, 636 pages, 24.7 x 17.4 x 3.7 cm
Language: English
Available for the first time in paperback, The Quantum Theory of Fields is a self-contained, comprehensive, and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume I introduces the foundations of quantum field theory. The development is fresh and logical throughout, with each step carefully motivated by what has gone before. After a brief historical outline, the book begins with the principles of relativity and quantum mechanics, and the properties of particles that follow. Quantum field theory emerges from this as a natural consequence. The classic calculations of quantum electrodynamics are presented in a thoroughly modern way, showing the use of path integrals and dimensional regularization. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Exercises are included at the end of each chapter.
Preface
1. Historical introduction
2. Relativistic quantum mechanics
3. Scattering theory
4. The cluster decomposition principle
5. Quantum fields and antiparticles
6. The Feynman rules
7. The canonical formalism
8. Massless particles
electrodynamics
9. Path integral methods
10. Nonperturbative methods
11. One-loop radiative corrections in quantum electrodynamics
12. General renormalization theory
13. Infrared effects
14. Bound states in external fields
Subject index
Author index.
'… an impressively lucid and thorough presentation of the subject … Weinberg manages to present difficult topics with richness of meaning and marvellous clarity. Full of valuable insights, his treatise is sure to become a classic, doing for quantum field theory what Dirac's Quantum Mechanics did for quantum mechanics. I eagerly await the publication of the second volume.' S. S. Schweber, Nature
'For over twenty years there has been no good modern textbook on the subject. For all that time, Steven Weinberg has been promising to write one. That he has finally done it … is cause for celebration among those who try to teach and try to learn the subject.' Howard Georgi, Science
'To summarize, Foundations builds the structure of quantum field theory on the sure footing of physical insight. It is beautifully produced and meticulously edited … and it is a real bargain in price. If you want to learn quantum field theory, or have already learned it and want to have a definitive reference at hand, purchase this book.' O. W. Greenberg, Physics Today
'In addition to a superb treatment of all the conventional topics there are numerous sections covering areas that are not normally emphasized, such as the subject of field redefinitions, higher-rank tensor fields and an unusually clear and thorough treatment of infrared effects … this latest book reinforces his high scholarly standards. It provides a unique exposition that will prove invaluable both to new research students as well as to experienced research workers. Together with Volume 2, this will become a classic text on a subject of central importance to a wide area of theoretical physics.' M. B. Green, CERN Courier
'I believe that what readers will find particularly helpful in this volume is the consistency of the whole approach, and the emphasis on quantities and properties that are directly useful to particle physicists. This is particularly true for those who are interested in the more phenomenological aspects. The reader only needs limited backround knowledge, and a clear line is followed throughout the book, making it easy to follow. The author presents extremely thorough but elementary discussions of important physical questions, some of which seem to be an original way of addressing the subject.' J. Zinn-Justin, Physics World
'This is a well-written book by one of the masters of the subject … it is certainly destined to become a standard text book and should find its way to the shelves of every physics library.' J. Madore, Classical and Quantum Gravity
'The book starts out with an excellent historical introduction, not found anywhere else, giving citations to many by now classic papers … a valuable reference work as well as a textbook for graduate students.' G. Roepstorff, Zentralblatt für Mathematik