The Quantum Theory of Fields, Volume 1: Foundations
Average customer rating: 4.5 out of 5 stars
  • Very thorough and logical, but somewhat difficult and painful to get through
  • Brilliant
  • superb book
  • Reading for Rhetoric
  • Perfection, but advanced
The Quantum Theory of Fields, Volume 1: Foundations
Steven Weinberg
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521670535

Book Description

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.

Customer Reviews:

4 out of 5 stars Very thorough and logical, but somewhat difficult and painful to get through.......2007-07-23

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.

5 out of 5 stars Brilliant.......2006-09-15

Weinberg never disappoints the serious student of theoretical physics. There is no good reason to ignore perusing his texts.
Weinberg is a master expositor and creator of modern physics.
There simply is no good reason not to purchase his volumes.

5 out of 5 stars superb book .......2006-08-16

in my opinion this should be one of the best books in qft.
Althought I've read jauch&rohrlich photons and electrons, p.ramond, itzykson, and ultimately, hatfield, Weinberg lead all of them for many heads. The features of this book are clarity, deepness, rigor, and authoritative treatment of all the topics. The discussion for a lagrangian versus hamiltonian formalism is lucid,and no finded in any other book. Group theory is applyied when is customary without cross over the physical implications. It contains a chapter devoted to scattering like no other book, wich is clear and explain concepts involved with "in" and "out" states(other of the lacks of many books of qft). Even the problems that contain are very well picked up, and solvable in most cases. I could't find any fault or mislead in what i read in this book, perhaps any skilled reader can find some. Even binding and typography are excellent, there is nothing more valuable for hardly 40$.

1 out of 5 stars Reading for Rhetoric.......2006-03-31

Physics is usually a horribly taught subject, that is why most students avoid it. When it is effectively communicated, physics can be wonderful. This book represents the former. It is dense. The author is obviously a brilliant person; but, he is not a brilliant communicator. I've got a Master's in Physics and I was lost by the end of the second chapter. I have no doubt that the mathematics as presented are accurate; however, alone they fail to effectively communicate the substance of the topic to a mere mortal. Weinberg does not spend adequate time discussing the context, reality, or historical evolution of his ideas. I purchased all three volumes and, apparently, waisted my money.

I later purchased Roger Penrose's "The Road to Reality" and thoroughly enjoyed it. It was not an easy read either, but Penrose spent a significant amount of time recounting historical context, impact, and the 'reality' of his ideas.

5 out of 5 stars Perfection, but advanced.......2006-01-10

This is one of the best written physics books to ever hit the market. However, it deals with an advanced topic and its not for the faint of heart or those without the proper background. Weinberg's writing style is remarkably clear. A historical introduction (which is very enlightening) is followed by a nice chapter on relatavistic quantum mechanics. Later chapters which I found very useful include a chapter titled "Quantum Fields and Antiparticles", where he introduces the Dirac formalism, and "The Feynman Rules", which is one of the best presentations on this topic I have come across. Chapters on the Lagrangian methods and path integrals are also good. I would strongly advise the reader to thoroughly study other quantum field theory books before tackling this one.

Also recommended (to get started): "Quantum Field Theory in a Nutshell"
Encyclopedia of Mathematical Physics, Volume 1-5: Five-Volume Set
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    Encyclopedia of Mathematical Physics, Volume 1-5: Five-Volume Set

    Manufacturer: Academic Press
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    Binding: Hardcover

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    ASIN: 0125126603

    Book Description

    The Encyclopedia of Mathematical Physics provides a complete resource for researchers,
    students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researchers own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information.

    Editorial Board:
    Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France
    Gregory L. Naber, Drexel University, Philadelphia, PA, USA
    Tsou Sheung Tsun, University of Oxford, UK

    Also available online via ScienceDirect (2006) featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit www.info.sciencedirect.com.

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      Encyclopedia Of Physics Volume 1 Mahematical Methods I (Encyclopedia of Physics)

      Manufacturer: Springer Verlag
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      Group Theory in Physics, Volume 1: An Introduction (Techniques of Physics)
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              Manufacturer: INTERSCIENCE PUBLISHERS INC
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              ASIN: B000PL0WTS
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                    Excerpts from Grass's major novels-from The Tin Drum to Crabwalk-are included, as are numerous short fictions, essays, and poems, many of which have never appeared before in English. Grass's gifts as an observer of and participant in the social and political landscape are justly celebrated, as are his inimitable sense of humor, his consistent defense of the disadvantaged, and his mastery of the forms of expression he has employed over the years.
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                    • if you speak german, read it!
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