The Quantum Theory of Fields, Volume 1: Foundations | 
| Author: Steven Weinberg Publisher: Cambridge University Press Category: Book
List Price: $56.00 Buy New: $40.32 You Save: $15.68 (28%)
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Avg. Customer Rating: 24 reviews Sales Rank: 308286
Media: Paperback Number Of Items: 1 Pages: 609 Shipping Weight (lbs): 2.4 Dimensions (in): 9.9 x 6.9 x 1.2
ISBN: 0521670535 Dewey Decimal Number: 530.143 EAN: 9780521670531 ASIN: 0521670535
Publication Date: May 9, 2005 Availability: Usually ships in 24 hours
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Product 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.
Book Description 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.
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| Customer Reviews: Read 19 more reviews...
Complete discussion October 27, 2007 1 out of 1 found this review helpful
I have been able to get a lot out of this book. However, it is *very* complete, and the order of the book is different than a lot of other textbooks on the subject (for example Mark Srednicki "Quantum Field Theory", which I think is a better book for a first course in QFT.). AN example is that scattering theory is covered *in detail* before acgtual construction of the free field. I'd think that the latter subject would be good to cover first. Overall, it is very complete and a great reference to use. For someone's first course, I would recommend Srednicki; however, Srednicki references this book frequently, so...
Very thorough and logical, but somewhat difficult and painful to get through July 23, 2007 6 out of 6 found this review helpful
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.
Brilliant September 15, 2006 2 out of 5 found this review helpful
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.
superb book August 16, 2006 4 out of 5 found this review helpful
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$.
Reading for Rhetoric March 30, 2006 5 out of 27 found this review helpful
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.
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