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The Quantum Theory of Fields, Volume 1: Foundations, by Steven Weinberg
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In The Quantum Theory of Fields, Nobel Laureate Steven Weinberg combines his exceptional physical insight with his gift for clear exposition to provide a self-contained, comprehensive, and up-to-date introduction to quantum field theory. This is a two-volume work. 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, and emphasizing the reasons why such a theory should describe nature. After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and the properties of particles that follow from these principles. Quantum field theory emerges from this as a natural consequence. The author presents the classic calculations of quantum electrodynamics in a thoroughly modern way, showing the use of path integrals and dimensional regularization. His account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories. The book's scope extends beyond quantum electrodynamics to elementary particle physics, and nuclear physics. 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. Problems are included at the end of each chapter. This work will be an invaluable reference for all physicists and mathematicians who use quantum field theory, and it is also appropriate as a textbook for graduate students in this area.
- Sales Rank: #65084 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2005-05-09
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x 1.30" w x 6.97" l, 2.45 pounds
- Binding: Paperback
- 609 pages
- Used Book in Good Condition
Review
"The [physics] community will not be disappointed....Volume 1 is six hundred pages of meticulous exposition of the fundamentals of the subject....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 [Weinberg's] high scholarly standards. It provides a unique exposition that will prove invaluable both to new research students as well as to experienced research workers....this will become a classic text on a subject of central importance to a wide area of theoretical physics." Michael B. Green, CERN Courier
"...for over 20 years there has been no good modern textbook on [quantum field theory]. 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. Weinberg's book is for serious students of field theory....[I]t is the first textbook to treat quantum field theory the way it is used by physicists today." Howard Georgi, Science
"...provides an impressively lucid and thorough presentation of the subject from this modern viewpoint....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..." Nature
"...a self-contained, comprehensive introduction to quantum field theory." Book News, Inc.
"...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
"I would recommend it to students who have completed a first course in field theory and hope that many of my colleagues will read it as well. Weinberg leads us to a frontier rich in possibilities. This is an optimistic book, written with much respect for ideas and nature--and for tools." Chris Quigg, Science
About the Author
Steven Weinberg is Josey Regental Professor of Science at the University of Texas. His research has been honored with numerous prizes and awards, including in 1979 the Nobel Prize in Physics and in 1991 the National Medal of Science, as well as the Heinemann Prize in Mathematical Physics and the Madison Medal of Princeton University. He has been elected to the US National Academy of Sciences, the Royal Society of Great Britain, the American Philosophical Society, and the American Academy of Arts and Sciences.
Most helpful customer reviews
37 of 38 people found the following review helpful.
Very thorough and logical, but somewhat difficult and painful to get through
By A. Potter
To put the review in perspective, My Background: I am a senior undergraduate engineering/physics student with an interest in mathematics and theoretical physics. This is my third QFT book.
Things I liked about the book:
- The book follows a very logical progression. I love how Weinberg presents a coherent argument based on simple physical principles (specifically Lorentz invariance and the cluster decomposition principle).
- Weinberg takes painstaking effort to avoid hand-waving, and is very careful to enumerate (and make plausible) his assumptions. In so doing, he avoids the sort of black-magic feeling I got when reading some less well written QFT books (see for example: Peskin and Schroeder, which makes a mockery of logical progression in an effort to teach you how to calculate as soon as possible).
- The book was very thorough, and often provided an original approach to the material. The coverage of renormalization seemed natural and coherent, and since the book is presented in a logical order (rather than a historical one) Weinberg avoids justifying renormalization as some mysterious subtraction of infinities, basing it instead on general non-perterbative methods (e.g. poles of the S-matrix, etc...)
What I didn't like about the book:
- As a result of his unwavering emphasis on logical progression, and his inclusion of a vast amount of material (almost all of which is necessary to understand in order to progress through the book), the book is somewhat painful to get through. Be prepared to re-read many of the sections a couple of times, and to make very slow progress.
- Weinberg chooses to present QFT in a very general form (i.e. abstracting it from a particular field such as particle physics or condensed matter physics). This is not necessarily a disadvantage, but I often found my interest waning after reading a few hundred pages without making any contact with phenomenology. Additionally, the excercises were similarly abstract, which makes it difficult (at least for me) to particularly care about their results. (More of a problem for self-study)
- The notation is very complete, which isn't normally a bad thing. However, the equations sometimes become very cumbersome when he includes every index, and every functional dependence regardless of how redundant they may be.
- In his coverage of path integrals, he derives things using functional determinants rather than through the more common generating functional methods. I think this hides a lot of the physical insight of the path integral approach, particularly, its equivalence to the 2nd-quantized approach, and its relation to Feynman diagrams.
- This book will drive the more mathematically inclined crazy, as the author admits, it makes very little attempt at rigour, and is very uncareful. He exchanges orders of limits willy-nilly, and often is not even clear about what sort of limiting process is taking place. There is not discussion of functional integration measures, or convergence, and there is very little justification provided for regularization methods (actually the coverage of dimensional regularization is extremely sparce, and would have been unfollowable, had I not already known it).
General Comments:
- I think that, contrary to some of the previous reviews, that the first few chapters of the book (through 6) would be a good first exposure to quantum field theory. I think the reader would have a much better understanding of the theory. However, the rest of the book is quite advanced, and would not be good for the uninitialized.
- I think that in an effort to make his coverage thorough and abstracting his discussion from phenomenology, the author sacrificed some of the readability of the book. That being said, if you're serious about learning the subject, this is a good resource.
6 of 13 people found the following review helpful.
Good if you know math and not much physics
By A Customer
You can read Weinberg's textbooks with joy and profit knowing a decent amount of mathematics and not much physics. Both "Gravitation and Cosmology" and "The Quantum Theory of Fields:vol I" are very self-contained. The ideas develop beautifully, naturally, and clearly. You might have to re-read but you won't need another reference for the topics that he covers, and you won't be overwhelmed with inessential or improperly motivated material.
52 of 62 people found the following review helpful.
Brilliant but hard, a book for advanced students only
By Wolfgang Zernik
Let me start by stating the essentials:
1. If you are a grad student in theoretical physics or you already have your Ph.D, buy this book! If you are an amateur trying to figure out how the universe works this book will simply break your heart because you will understant none of it.
2. The book is beautifully printed by Cambridge University Press. You don't see this sort of quality often these days, when the European-style el cheapo paper back has become the norm.
3. It is an expensive book, but Amazon has some bargain re-sellers. I bought my copy at a substantial discount. It was supposedly second-hand but had obviously never even been breathed on. And it got here in two days.
4. This is a book mainly about formalism and mathematics. If you get about half-way through you will eventually reach some discussion of experimental results but this is not the emphasis here.
5. Finally, on a personal note. I am a retired theoretical physicist and about forty years ago I even wrote a paper on quantum electrodynamics. So I thought that maybe I could attempt to read this book. I know the words, Hermitian operators, Lorentz transformations, stuff like that. Yet I'm having a very hard time getting through it. After about a month of trying I'm about to give up. I can read chapters 1 and most of 2, but after that it becomes too hard for me. One problem is that it is not often explained what the point of all that complicated mathematics really is. It certainly does not give me a better understanding of the physical world although I suppose it would do that if I persevered long enough. That's why I gave it only 4 stars.
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