The Quantum Theory of Fields, Volume 2: Modern Applications
Average customer rating: 5 out of 5 stars
  • The most authoritative book on QFT ever
  • If you appreciate Vol 1, you'll want Vol 2.
  • Delightfully insightful
  • Excellent, despite some idiosyncracies
The Quantum Theory of Fields, Volume 2: Modern Applications
Steven Weinberg
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521670543

Book Description

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.

Customer Reviews:

5 out of 5 stars The most authoritative book on QFT ever.......2006-01-02

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.

5 out of 5 stars If you appreciate Vol 1, you'll want Vol 2. .......2005-03-26

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.

5 out of 5 stars Delightfully insightful.......2002-12-23

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.

5 out of 5 stars Excellent, despite some idiosyncracies.......1999-01-22

This is another gem of a book by Weinberg. The discussion is fairly modern at places (for instance nice discussion of BRST, BV Formalism, RG and Anomalies), but could have been more modern and compact in certain other places (like chiral lagrangians, standard model etc.). However, even those parts are a pleasure to read. It is just that some other aspects could have been discussed (as I hope he does in the third volume), such as SUSY, especially QFT dualities. Anyway, an excellent book!
Statistical Physics, Part 2: Volume 9 (Pt 2)
Average customer rating: 5 out of 5 stars
  • Green's functions, superfluids, superconductors, magnetism
  • Great Book, the best I've ever seen!
  • Unrivalled Masterpiece
  • A UNIQUE BOOK ON MODERN STATISTICAL PHYSICS
  • THE BEST BOOK ON STATISTICAL PHYSICS
Statistical Physics, Part 2: Volume 9 (Pt 2)
E M Lifshitz , and L P Pitaevskii
Manufacturer: Butterworth-Heinemann
ProductGroup: Book
Binding: Paperback

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ASIN: 0750626364

Book Description

The second part of 'Statistical Physics' deals with the quantum theory of the condensed state of matter. This volume is essentially an entirely new book, based on the large amount of new material which has become available in statistical physics since' Part 1' was published.

Customer Reviews:

5 out of 5 stars Green's functions, superfluids, superconductors, magnetism.......2004-12-12

This review is for Volume 9 of the Landau Course of Theoretical Physics.

The whole Course is clear and concise, so it makes sense for anyone who wants to do theoretical physics to go through all ten volumes.

We start off with normal Fermi liquids and gases, including a nice discussion of Zero Sound (which is distinguished from normal sound mostly by a slight increase in the sound velocity as one gets colder than a transition temperature, and by increased absorption of sound near the transition temperature). Then we learn about Green's functions in a Fermi system at T = 0 and Feynman diagram representations of them.

After that, we study Bose liquids and gases. That means the properties of superfluids, including quasi-particles (phonons and rotons) and quantized vortex filaments. And the book shows how to apply Green's functions to Bose liquids. There's an interesting section on the disintegration of quasi-particles. Next, we're introduced to Green's functions for T > 0, using the Matsubara operators to reduce the complexity of the diagrams.

And then we're ready to learn about superconductors. That means learning about Cooper pairing and superfluid Fermi gases, and learning how to apply Green's functions to them. And, not surprisingly, we learn the Ginzburg-Landau equations, so that we can determine the behavior of superconductors in magnetic fields in temperature ranges near the transition point.

There's also a chapter on electrons in the crystal lattice, including the de Hass-van Alphen effect (which refers to a metal's magnetic susceptibility oscillating as the strength of a strong magnetic field changes - due to the quantization of the energy levels of the electrons) and electron-phonon interactions. And there's a nice chapter on magnetism.

In the preface, the authors state "we must again stress that this book is part of a course of theoretical physics and in no way attempts to be a textbook of solid state theory." Are they kidding? This course is an excellent way to learn solid state physics.

5 out of 5 stars Great Book, the best I've ever seen!.......2001-08-24

no words can describe the richness and clarity of this book.the description of Maxwell's distribution, Gibbs formalism,etc...all with marvelous clarity and rigour. Everyone who wants to learn statistical Mechanics (under and graduates) MUST read this book.

5 out of 5 stars Unrivalled Masterpiece.......2001-05-06

This book is a classic, especially in the sense it is somewhat old fashioned in its basic approaches when compared with newer books. For example it examines statistics and entropy from the ergodic as opposed to the ensemble approach. Information Theory and role of symmetry and symmetry breaking is not treated in detail. However I can't hold these omissions against the book since these developments happend mostly in the late 70s.

What Landau does here, and which in explicably very few Statistical Mechanics books do nowadays, is the full Gibbs Formalism. Not only is the Gibbs Formalism more compatible with Quantum Mechanics, it can also fits in beautifully with Ensemble Statistics and Inofrmation Theory. More over, it is at once clear Maxwell and Boltzmann statistics are only special cases of the Gibbs formalism, and can be easily shown in a few lines.

What Landau does, is to gave an elegant and cohesive view the trully fundamental features of Statistical Mechanics. Chapters 1-6 of this book alone displays a deeper level of understanding than whole books that have been written. If you are interested in Statistical Mechanics at all, this must be a centerpiece of your library.

5 out of 5 stars A UNIQUE BOOK ON MODERN STATISTICAL PHYSICS.......1998-07-24

This is the Volume 9 of the famous Course of Theoretical Physics by L. D. Landau and E. M. Lifshitz. All serious students of theoretical physics must possess the ten volumes of this excellente Course, which cover in detail and rigour practically all the branches of theoretical physics. The Volume 9 treats important specialized topics of modern statistical physics. These topics include the theory of quantum liquids(Fermi and Bose types), the theory of superfluidity, created by Landau to account for the phenomena ocurring in liquid helium at approximately 2 kelvin, the microscopic theory of superconductivity, the general method of Green's functions, so important to modern statistical physics, and some other topics, such as the quantum mechanics of a electron in a crystal lattice. The book still contains the general theory of electromagnetic and hydrodynamic fluctuations, treated in the spirit of the Green's functions. These topics are treated with rigour, efficiency and c! larity of language. For this reason, all readers with some aqquaintance with basic statistical physics can read and understand much of this book without major problems. Certainly there is not other book comparable with the Volume 9, a unique and valuable addition to the literature on modern statistical physics!

5 out of 5 stars THE BEST BOOK ON STATISTICAL PHYSICS.......1998-07-23

This is the Volume 5 of the famous Course of Theoretical Physics by L. D. Landau and E. M. Lifshitz. All serious students of theoretical physics must possess the ten volumes of this excellent Course, which cover in detail and rigour practically all the branches of theoretical physics. The Volume 5 treats the subject of classical and quantum statistics. It contains an unusual approach of these subjects, based on the general Gibbs method, avoiding the introduction of ergodic hypotheses and, in the case of the ideal gas, of "a priori" probabilities, which are difficult to justify and serves only to obscure the exposition. The book is complete and contains chapters not usually found in other similar books, such as the chapter on second-order phase transitions. The clarity of exposition and rigour is notorious in this book. A magnific book!
II: Fourier Analysis, Self-Adjointness, Volume 2 (Methods of Modern Mathematical Physics)
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    II: Fourier Analysis, Self-Adjointness, Volume 2 (Methods of Modern Mathematical Physics)
    Michael Reed , and Barry Simon
    Manufacturer: Academic Press
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    Book Description

    This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.
    String Theory 2 Volume Set (Cambridge Monographs on Mathematical Physics)
    Average customer rating: 4.5 out of 5 stars
    • Great value
    • a thorough introduction
    String Theory 2 Volume Set (Cambridge Monographs on Mathematical Physics)
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    Manufacturer: Cambridge University Press
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    Customer Reviews:

    5 out of 5 stars Great value.......2006-10-27

    This 2 volume set is truly a great deal, since it probably is the best book on the subject. The first volume introduces the bosonic string thoroughly. There are problem sections in each chapter, but no answers. At the end of the book, there is a list of key concepts, which makes finding related subjects easier via the index, which is well organised. The second volume starts off with the (fermionic) superstring, which could have been done more extensively, since the super-Virasoro algebra and super-CFT are more or less stated, which is in contrast to the detailed derivations of the first volume. Nevertheless, it is a wonderful treatment of superstring theory and the more advanced topics that have been introduced in the first volume or for which the basic ingredients have been discussed. The book introduces modern research concepts that are not contained in the standard reference by Green, Schwarz & Witten, which is not as easy to read as Polchinski's 2 volume set. Both volumes have large reference lists to textbooks and articles, which come in handy, when you need some more information.

    In order to be able to read the book, one needs basic knowledge of quantum field theory and Lie algebras, but some of the concepts needed are discussed briefly or references to other works are given.

    Studying string theory without this book simply would not be the same. For any self-respecting physicist with an interest in string theory this book is a definitive must.

    4 out of 5 stars a thorough introduction.......2000-06-20

    This is the ultimate starting point for students who want to enter the field of string theory. It discusses most subject in great detail. However in can't be self contained or complete at every stage since progresses in string theory are being made every day. Nevertheless it provides enough background to understand current articles.
    Methods of Mathematical Physics, Partial Differential Equations (Volume 2)
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      Manufacturer: Interscience, John Wiley & Sons, NY.
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      Physics : Algebra/Trig; Volume 2
      Average customer rating: 2.5 out of 5 stars
      • One word to describe this book: Horrible
      • urnightingale
      • Students Beware!!!!
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      Eugene Hecht
      Manufacturer: Thomson Brooks/Cole
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      Customer Reviews:

      1 out of 5 stars One word to describe this book: Horrible.......2005-12-26

      I'm really mad at our school for having this as our textbook.

      This book talks too much about the history of physics than to focus on concepts and how to solve problems. It doesn't tell you what kind of equations you should use for what type of problems. Some answers on the back of the book are wrong.
      This book is bad for both self studying and for class supplement.
      This book is just not for studying physics nor for anything else. I'd say it's garbage.

      5 out of 5 stars urnightingale.......2004-01-17

      THis is an excellent book...but you really have to be committed to learn anything (esp. Physics). You can't expect to just read through once and understand everything. This book makes the reader think deeply about physical concepts, but again, you have to be committed to grasp them throughly. It is a very interesting book. Excellent resource for to-be-researchers. In fact, it introduces the reader to very interesting facts about different researcher. I used to read it like a story book (some chapters took about a day to read) but i enjoyed it. If you want to learn physics and want to learn it with an open mind, this is the best book. I have taken an engineering physics course also and their book was very boring and confusing compared to this one. so..enjoy!

      1 out of 5 stars Students Beware!!!!.......2003-06-18

      I bought this book for a class and was hoping it would help me through it, since my teacher was not the best. It just made it more confusing. The book is littered with information, just too much for a person taking algebra based physics. Most people taking Algebra based physics need a step-by-step approach at learning the subject matter. This book does a poor job at doing so. The concepts are not clear and concise, and fails when attempting to outline major equations. The problems in the back have answers for the odd problems, but how do we access answers to the even problems? Where's the student solution manual? It adds much difficulty to the learning process. Wouldn't recommend it.
      Boundary Value Problems of Mathematical Physics (Classics in Applied Mathematics, 29) 2 volume set (Classics in Applied Mathematics)
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        Ivar Stakgold
        Manufacturer: Society for Industrial Mathematics
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        ASIN: 0898714567

        Book Description

        For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory--subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.
        Encyclopedia of Physics Volume 2 Mathematical Method
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          S Flugge
          Manufacturer: SPRINGER VERLAG BERLIN
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          ASIN: B000Q9Z3DE
          Encyclopedia of Physics, Volume 2: Mathematical Methods 2
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            Fractal Dimensions for Poincare Recurrences, Volume 2 (Monograph Series on Nonlinear Science and Complexity)
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              Valentin Afraimovich , Edgardo Ugalde , and Jesus Urias
              Manufacturer: Elsevier Science
              ProductGroup: Book
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              This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details of proofs. The only prerequisites are a basic knowledge of analysis and topology. Thus this book can serve as a graduate text or self-study guide for courses in applied mathematics or nonlinear dynamics (in the natural sciences). Moreover, the book can be used by specialists in applied nonlinear dynamics following the way in the book. The authors applied the mathematical theory developed in the book to two important problems: distribution of Poincare recurrences for nonpurely chaotic Hamiltonian systems and indication of synchronization regimes in coupled chaotic individual systems.



              * Portions of the book were published in an article that won the title "month's new hot paper in the field of Mathematics" in May 2004
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