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The Quantum Theory of Fields, Volume 2: Modern Applications Illustrated Edition


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In this second volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly expoistion of quantum theory. Volume 2 provides an up-to-date and self-contained account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Exercises are included at the end of each chapter.

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Editorial Reviews

Review

"...a clear presentation of the subject, explaining the underlying concepts in much depth and in an accessible style. I expect that these volumes will become the first source we turn to when trying to answer the challenging questions asked by bright postgraduates when they first encounter quantum field theory." T.C. Sachrajda, Times Higher Education Supplement

"The insight and depth of his treatment which singles this book out from others in this field can be largely attributed to Weinberg's authority as an originator of many of the ideas in the book...Experienced researchers and beginning graduate students alike will delight in the gems of wisdom to be found in these pages. This book combines exposition of technical detail with physical insight in a unique manner that confirms the promise of Volume 1 and I have no doubt that these two volumes will rapidly constitute the classic treatment of this important subject." CERN Courier

"It is a majestic exposition. The two volumes are structured in a logical way. Everything is explained with incisive clarity. Weinberg always goes to the heart of any arguments and includes many things that cannot be found elsewhere in the literature....I find it hard to imagine a better treatment of quantum field theory than Weinberg's. All serious users of the subject will want to have these two volumes on their shelves." John C. Taylor, Nature

"...Steven Weinberg is one of our most gifted makers of theoretical tools as well as a virtuoso in their use...The Quantum Theory of Fields is a splendid book, with abundant useful references to the original literature. It is a very interesting read from cover to cover, for the wholeness Weinberg's personal perspective gives to quantum field theory and particle physics...Weinberg leads us to a frontier rich with possibilities." Science

"Weinberg's Modern Applications goes to the boundaries of our present understanding of the field theory. It is unmatched by any other book on quantum field theory for its depth, generality and definitive character, and it will be an essential reference for serious students and researchers in elementary particle physics." Physics Today

"The book is at once fascinating and challenging, because of its advanced and mathematical level. Physics professors and college physics majors, both undergraduate and graduate, will get the most use out of it....I recommend Weinberg's volume II highly for physics devotees everywhere." Brian I. Baker, Science Books & Films

"As reference works these volumes are an absolutely essential addition to the bookshelf of any practicing field theorist. They provide a treasure trove of information and bibliography....a must buy for every university physics library." Paul H. Frampton, American Scientist

Book Description

A comprehensive introduction to quantum field theory by Nobel Laureate Steven Weinberg, first published in 1996.

Product details

  • Publisher ‏ : ‎ Cambridge University Press; Illustrated edition (May 9, 2005)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 489 pages
  • ISBN-10 ‏ : ‎ 0521670543
  • ISBN-13 ‏ : ‎ 978-0521670548
  • Item Weight ‏ : ‎ 1.97 pounds
  • Dimensions ‏ : ‎ 6.69 x 1.16 x 9.61 inches
  • Customer Reviews:

About the author

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Steven L. Weinberg
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Steven Weinberg (born May 3, 1933) is an American theoretical physicist and Nobel laureate in Physics for his contributions with Abdus Salam and Sheldon Glashow to the unification of the weak force and electromagnetic interaction between elementary particles.

He holds the Josey Regental Chair in Science at the University of Texas at Austin, where he is a member of the Physics and Astronomy Departments. His research on elementary particles and cosmology has been honored with numerous prizes and awards, including in 1979 the Nobel Prize in Physics and in 1991 the National Medal of Science. In 2004 he received the Benjamin Franklin Medal of the American Philosophical Society, with a citation that said he is "considered by many to be the preeminent theoretical physicist alive in the world today." He has been elected to the US National Academy of Sciences and Britain's Royal Society, as well as to the American Philosophical Society and the American Academy of Arts and Sciences.

Weinberg's articles on various subjects occasionally appear in The New York Review of Books and other periodicals. He has served as consultant at the U. S. Arms Control and Disarmament Agency, President of the Philosophical Society of Texas, and member of the Board of Editors of Daedalus magazine, the Council of Scholars of the Library of Congress, the JASON group of defence consultants, and many other boards and committees.

Bio from Wikipedia, the free encyclopedia. Photo by Larry D. Moore [CC BY-SA 3.0 (http://creativecommons.org/licenses/by-sa/3.0) or GFDL (http://www.gnu.org/copyleft/fdl.html)], via Wikimedia Commons.

Customer reviews

4.9 out of 5 stars
4.9 out of 5
60 global ratings

Top reviews from the United States

Reviewed in the United States on October 1, 2017
If you want to understand QFT deeply, don't look elsewhere. Just read this (and the first volume).
Reviewed in the United States on January 31, 2016
Excellent book!
Reviewed in the United States on October 11, 2015
without peer
Reviewed in the United States on October 5, 2015
Very Good!
Reviewed in the United States on June 17, 2018
In Memoriam:
Steven Weinberg (May 3, 1933 – July 23, 2021)
"He continued to be an ambassador for science throughout his life." (Austin, UT News, 24 July 2021).

As many have noted, it is wise to study Weinberg's volume one before attempting his second volume.
As with the first volume, the second requires undivided attention. The volumes refer back and forth to one another. For instance: "it is necessary that the action should contain all possible terms allowed by the assumed symmetries of the theory (read here, page 234), then also volume one (page 506). Now, volume one asks: "Is Renormalization Necessary ?" (page 521) and refers to volume two for further details regards low-energy Pions. In volume one read: "a formula like #9.5.64 allows us to derive nonperturbative results by using topological theorems to derive information about the eigenvalues of kernels" (page 413) and this will be detailed in volume two. Wise to keep both volumes at hand. Also, keep two references handy: Hardy's Divergent Series (referenced page 294, regards Borel transformation) and MIT volumes published 1980, Encyclopedia of Mathematics (referenced page 238, regards De Rham Cohomology). Being useful, whether or not you study Steven Weinberg ! Now, Steven Weinberg words of wisdom:
(1) "There is today a widespread view that interacting quantum field theories that are not asymptotically free, like quantum electrodynamics or the scalar field theory with phi-four interaction, are not mathematically consistent; fortunately, the question of whether a theory is asymptotically free for some finite range of coupling constants can be settled by perturbative calculations." (page 138).
(2) "it is possible that the quarks and gluons exhibit some new kind of interaction at energy scale much larger than the scale characteristic of quantum chromodynamics." (page 153).
(3) "Spontaneous symmetry breaking actually occurs only for systems that are infinitely large."
(page 164).
(4) "Spontaneously broken local symmetries do not lead to Goldstone Bosons." (page 172).
(5) "Effective field theories provide the most convenient method for working out the consequences of symmetries and the general principles underlying quantum field theory." (page 209).
(6) "As has happened earlier (dispersion relations and Feynman's diagrammatic rules) the effort to bypass quantum field theory led to valuable general results, but results that can be understood as general properties of quantum field theory." (page 252).
(7) "A superconductor is simply a material in which the electromagnetic gauge invariance is spontaneously broken." (page 332).
(8) " This feature of superconductivity, that a Goldstone Boson forms for an attractive potential--however weak the potential may be--is a consequence of the existence of a Fermi surface, which enhances long-range effects." (page 351).
Finally, I highlight the efficacy of Steven Weinberg's approach: the methodology he embraces serves the student for many a year, that is, many a year beyond any 'required' coursework. From General Relativity to Cosmology to Quantum Mechanics and Quantum Field Theory--I have benefited enormously from his monographs (Or, stronger: I did not truly understand Quantum Field Theory until studying his work).
5 people found this helpful
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Reviewed in the United States on January 1, 2006
Before Weinberg's books, a typical graduate student in theoretical physics would study the standard textbooks (e.g. Itzykson-Zuber, Peskin-Schroeder) to pass QFT courses. When confronted with actual research problems, he would discover that all he has learned is how to do calculations in perturbation theory, that he is unfamiliar with a host of ideas and techniques that are widely used in the present-day research literature and that he has to resort to original papers and reviews to learn them.

Weinberg's three-volume set drastically changed this situation, giving the most authoritative and complete presentation of QFT to appear in a textbook. Although it is not suitable for beginning graduate students, it is invaluable for covering all these topics that are typically omitted in QFT courses and for providing valuable insight missing from other textbooks.

The highlight of the set is Volume 2, which includes most topics where Weinberg has made his own invaluable contributions. In his inimitable style, Weinberg guides us through the great developments in QFT from the 1960's to the 1980's, including most topics that are essential for a working knowledge of modern QFT. The presentation is crystal clear throughout and every topic is presented in as much detail as it deserves. In particular, the chapters on spontaneously broken symmetries are simply masterpieces, the treatment of anomalies is the most complete ever, while the chapter on extended objects is a thorough overview of an ever-expanding subject. This book is a must for everyone working on theoretical physics.
15 people found this helpful
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Reviewed in the United States on December 22, 2002
This book has some of the most exquisite expositions on the theoretical aspects of quantum field theory that you are ever likely to run into, i.e. Weinberg's name is literally stamped on every page for brilliance. There are topics treated here that are not likely to be found anywhere else, for instance Batalin-Vilkovisky Quantization. Weinberg's treatment of the proof of renormalizability is compact and yet very readable. And his chapter on anomalies is simply speaking the authortiative treatment. This book is a must have for anyone interested in the more theoretical aspects of Field Theory. Though I would recommed a few months with Peskin & Schroeder, and volume 1 of Weinberg to get the full flavour of Weinberg's treatment.
8 people found this helpful
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Reviewed in the United States on March 25, 2005
I have found this text extremely useful as a guide to the essentials of modern renormalization theory, as well as modern quantization techniques for Non-abelian gauge theories. The chapter on extended field configurations is nice, though it is meant as an overview and guide to the literature. What I like most about this volume is the discussion of experimental or phenomenological issues that complements many of the discussions. He has a broad base of knowledge in particle physics, as well as field theory. If you don't have volume 1, get that first.
2 people found this helpful
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Top reviews from other countries

Cliente Amazon
5.0 out of 5 stars Vermelho é a cor mais quente
Reviewed in Brazil on August 1, 2018
É um livro incrível, trazendo em cada capítulo a intuição e a matemática necessária.

Também vale dizer que é bem diferente do volume 1. Neste o autor constroe as fundações, portanto são sempre discussões razoavelmente diretas. Já no volume 2 são as aplicações, portanto são atacados problemas de alta complexibilidade com as ferramentas desenvolvidas anteriormente.

Além disso note que muitos outros livros de QFT (após 1995) quando começam uma discussão um pouco mais geral de certo assunto, acabam eventualmente referenciando o Weinberg.
2 people found this helpful
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Bartosz
5.0 out of 5 stars As expected
Reviewed in the United Kingdom on January 3, 2019
Good quality and fast delivery - as expected.
Amazon Kunde
5.0 out of 5 stars Super!!!
Reviewed in Germany on January 13, 2018
alles war super!!! Das Buch hat meine Erwartungen voll erfüllt. Das Buch ist in einem sehr gutem Zustand. Es wurde sehr schnell geschickt.
2 people found this helpful
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Amazon Customer
5.0 out of 5 stars Five Stars
Reviewed in Canada on August 6, 2016
Excellent copy; just like new! Great service. Thanks!
Matteo
5.0 out of 5 stars Steven weinberg's Book
Reviewed in Italy on March 23, 2016
Il libro è stato spedito entro la data di consegna prevista ed era in condizioni perfette.
Questo è un caposaldo della teoria dei campi quindi lo consiglio a chiunque si stia avvicinando all'argomento.
Molto rigoroso e molto bello.
One person found this helpful
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