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Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts)

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Review

"As a whole, Quantum Field Theory of Many-body Systems is an inspirational and forward-looking book exploring the mysteries and never ending wonders of many-particle quantum mechanicsBoth for ambitious graduate students and for gray-haired veterans, Wen's book offers a refreshing look at the mysterious quantum world."--Physics Today"... covers an extremely wide-ranging and stimulating series of topics in modern theoretical condensed matter physics."--Nigel Cooper, University of Cambridge"... responds to a serious need for a modern book on field-theory approaches to condensed matter theory."--Allan H. MacDonald, University of Texas at Austin

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About the Author

Xiao-Gang Wen is a professor in the Department of Physics at Massachusetts Institute of Technology.

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Product details

Series: Oxford Graduate Texts

Paperback: 520 pages

Publisher: Oxford University Press; Reissue edition (October 18, 2007)

Language: English

ISBN-10: 9780199227259

ISBN-13: 978-0199227259

ASIN: 019922725X

Product Dimensions:

9.4 x 1 x 6.5 inches

Shipping Weight: 1.9 pounds (View shipping rates and policies)

Average Customer Review:

3.9 out of 5 stars

8 customer reviews

Amazon Best Sellers Rank:

#913,331 in Books (See Top 100 in Books)

The message this book has to the reader "in between the lines" is: "Here are some interesting calculations. I won't show you (at least not to the requisite level of detail) how to DO them, but I can tell you that they're interesting (much like a densely-written journal article). I also have some exercises for you, and I wrote them to emphasize the _physical_, rather than 'obtain equation such-and-such from equation so-and-so'.". The pile of books I have read through to see what steps have been skipped is noticeably larger than any other text. The author does make it clear that this is his intention, stating: "Novelty is more important than correctness" at the immediate outset (this is, in fact, the title of Section 1.6). The problem, of course, is that the student learning something for the first time must achieve 100% correctness as they work through to the conclusions that a text proposes; hence, we return to the problem that this text makes no effort to be pedagogical.In conclusion, think of this textbook as a collection of journal articles, but with exercises. Note, also, that ultimately in physics one is interested in the physical, rather than "drill" type or "checking/verifying" type problems (though the latter certainly arises in the context of research, it is always motivated by the physical). Perhaps it can be seen in this regard as doing its reader a favour by keeping their mind on the physical picture.This text would take a lifetime for someone like me to master, so take my review and rating with a grain of salt, for I certainly have not read through the book the whole way, and even if I did, I'm certain that later on the road of my physics-career (at the time of writing this, I am a PhD student), I might see the text with new eyes.

This book should be required reading for any student of modern condensed matter theory. Having prior exposure to the basics of condensed matter physics and introductory QFT would be very helpful, but besides that, the book is mostly self-contained. Most of the big topics of modern CMT are covered. If you don't know anything about a specific topic (spin liquids, fractional quantum hall, string-nets, etc.), this is a good place to start. If you know something about these topics already, this book will offer a fresh perspective and make you rethink past assumptions. Besides covering the core material very well, this book is most notable for its philosophical viewpoint. No other book paints such a vivid and coherent picture of what modern condensed matter physics really is and why it should be taken seriously as a fundamental theory. My only hope is that we eventually get an updated version. A lot has happened in the last decade! The book could especially use a section on SPT phases and an updated treatment of topological order.

I have a love-hate relationship with this book. On one hand, it's great that it highlights a lot of important subtleties we would miss with a standard condensed matter field theory course. On the other hand, the notation is very weird/non-conventional, which makes comparing expressions with other books very painful. Sometimes, the notation is also sloppy/wrong, and self-studying from this book can be like pulling teeth.

It is a forward-looking and inspirational book. This book prepares many warm-up topics for ongoing research directions, such as string-net, toric code, topological order, nonlinear sigma model, emergent gauge theory, high Tc superconductor, etc. It is a good practice book to read for the backgrounds of hard-condensed-matter-theory and hard-condensed-matter-experiment.The reader, however, is required to be open-minded, and to be challenged by the unconventional, non-traditional ways of viewing the beauty and the mystery of quantum many body physics. It was suggested by the book that a new language is desired to describe the beauty and the mystery of many new emergent physics in the quantum world.

The book contains very interesting choice of material, but the derivations are quite sloppy, the notation frequently changes without warning, and there is huge amount of typos. This is a kind of book that gives you some good insights (aka Feynmann's books), but certainly not the book from which you can seriously learn the subject.

The other two reviewers have both noted that the book may not be a good starting point for a beginner, and I entirely agree.Think Weinberg's three-volume QFT, or Feynman's Lectures on Physics. These books are good, full of insights, and will teach you a lot more if you already have some basic understanding of the respective subjects. However, you will suffer if these books are used as introductory texts.That said, I find Wen's book generally a good read, and it nicely explains several concepts that I didn't understand until now. Well, I am a field theorist in my 4th year of grad school-- not exactly a beginner. But still.One such instance is the section on Berry phase of a spin. Granted, Wen pretty much just throw at you the concept of a coherent state, but that part I learned just all right from other places. What's important is, Wen's book explains the next step "coherent state --> Berry phase" clearly. It's the only comprehensible derivation I've seen so far. (See, for example, Fradkin's Field Theories for Condensed Matters for an **unintelligible** derivation.)I do sometimes find Wen's narrative style annoying. But hey, it's a theoretical physics textbook, and as long as he makes sound arguments (he does), how he delivers the arguments isn't that important.

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Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts) PDF

Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts) PDF

Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts) PDF