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Methods of Quantum Field Theory in Statistical Physics (Dover Books on Physics) [Paperback]

A. A. Abrikosov
4.4 out of 5 stars  See all reviews (11 customer reviews)

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Book Description

October 1, 1975 0486632288 978-0486632285 Revised
This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."

Frequently Bought Together

Methods of Quantum Field Theory in Statistical Physics (Dover Books on Physics) + Quantum Theory of Many-Particle Systems (Dover Books on Physics) + A Guide to Feynman Diagrams in the Many-Body Problem (Dover Books on Physics)
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Editorial Reviews

Language Notes

Text: English, Russian (translation)

Product Details

  • Series: Dover Books on Physics
  • Paperback: 384 pages
  • Publisher: Dover Publications; Revised edition (October 1, 1975)
  • Language: English
  • ISBN-10: 0486632288
  • ISBN-13: 978-0486632285
  • Product Dimensions: 8.2 x 5.6 x 0.8 inches
  • Shipping Weight: 14.1 ounces (View shipping rates and policies)
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon Best Sellers Rank: #849,047 in Books (See Top 100 in Books)

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Customer Reviews

4.4 out of 5 stars
(11)
4.4 out of 5 stars
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Most Helpful Customer Reviews
16 of 19 people found the following review helpful
By Adam S
Format:Paperback
This is a serious book with a seriously long title and three seriously hard-to-pronounce author-names.

Of course, as the other reviewers have already stated, this book is a Classic. It is also, as one other reviewer has proclaimed, not a book from which I would like to learn quantum field theory.

"Methods of Quantum Field Theory in Statistical Physics" by A.A. Abrikosov, L. P. gorkox, and I.E. Dzyaloshinski (or "AGD" as it is known) is thought of by many as the be all and end all of field theory texts in the condensed matter physics world.

But, AGD should not be thought of as a book that introduces the reader to field theory. You definitely must have studied field theory (either relativistic or non-relativistic) from an introductory book that uses the canonical formalism before attempting to get anything out of AGD.

For example, if you are not already familiar with Wick's Theorem and how to prove it, then you will get very little out of AGD's single paragraph of text which "proves" the thoerem. On the other hand, if you already know of Wick's theorem you may find the proof in AGD rather cute. As for me, when I read the one paragraph of text that AGD put forward as a "proof" of Wick's Theorem, I immediately puked in my own mouth.

Yummy.

Another downside to AGD is the fact that they do not even mention the path integral formalism. Everything is done in the canonical formalism, as you might expect from a bunch of old school Russians.

Finally, I will repeat that this book IS a Classic, and there is a ton of great stuff in this book. If you are a serious student of condensed matter physics then you must have this book. If, on the other hand, you are trying to learn field theory for the first time, then go buy "Quantum Field Theory in a Nutshell" by Zee.
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14 of 17 people found the following review helpful
2.0 out of 5 stars Sorry to differ from the reader below. August 4, 2004
By Locust
Format:Paperback
This book is little or no use unless you have a very strong background in

field theoretical methods. If you are a seasoned pro. you might find it

useful but if you want to teach yourself.... you will soon get frustrated.

Still my hat's off to the authors who pioneered the area.

Conclusion: if you are a PhD student, get Fetter & Walecka instead.
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3 of 3 people found the following review helpful
4.0 out of 5 stars Very good book September 24, 2007
By tomsow
Format:Paperback
This book is one of the most known treating about QFT in non-zero temperatures and it doesn't need an advertisement. One think that redactors should think about is size of the fonts. Letters are really to small...
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6 of 8 people found the following review helpful
5.0 out of 5 stars Possibly the best book on diagrams you can find February 8, 2001
By A Customer
Format:Paperback
This is a classic, and quite possibly it doesn't get any better than this to teach you the technique. For those used to a textbook style, this will be a bit of an unpleasant surprise, because writing is somewhat condensed, but that's quite typical for the old Russian school of theoretical physics. However, all the important issues are properly stressed, all derivations are rigorous, and what is most important, the physical reasoning is clear an to the point.
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1 of 1 people found the following review helpful
4.0 out of 5 stars AGD is a bar to leap August 6, 2012
Format:Paperback
You will know you've finally arrived in condensed matter theory when you can explain this book to others.

For those unfortunate souls who have to learn from this, I can only paraphrase Mark Twain on Huck Finn (the quote becomes all the more appropriate in a Soviet setting):

"Persons attempting to find a motive in this textbook will be prosecuted; persons attempting to find a moral in it will be banished; persons attempting to find a plot in it will be shot."
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1 of 1 people found the following review helpful
5.0 out of 5 stars Seminal, essential, June 29, 2008
Format:Paperback
AGD, as it were, is an essential text for those studying or practicing "methods of QFT in statistical physics". this landmark publication has educated generations of physicists, and can continue to do so due to it's bargain price.
The book does suffer from "Russian style". It is terse. Read slowly and often.
If you're considering buying the book, either do so, or change fields. If you can not or will not invest ten dollars in this book then you are wasting your time anyhow.
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