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Methods of Quantum Field Theory in Statistical Physics (Selected Russian Publications in the Mathematical Sciences.) (Dover Books on Physics)
 
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Methods of Quantum Field Theory in Statistical Physics (Selected Russian Publications in the Mathematical Sciences.) (Dover Books on Physics) [Paperback]

A.A. Abrikosov , etc. , et al , R. Silverman

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Amazon.com:  9 reviews
12 of 14 people found the following review helpful
I Believe It's Pronounced: "Ah-brick-oh-sov, Gore-cawV, and Dee-ah-low-shin-ski" 5 Feb 2006
By Adam S - Published on Amazon.com
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.
11 of 13 people found the following review helpful
Sorry to differ from the reader below. 5 Aug 2004
By Locust - Published on Amazon.com
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.
2 of 2 people found the following review helpful
Very good book 25 Sep 2007
By tomsow - Published on Amazon.com
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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