Quantum Theory of Many-Particle Systems

Rating:
Summary: Green's functions vs. Many-body physics
Review: It is the best text on Green's functions, especially if you are a kind of person who really reads through books trying to figure the things out. Probably the only book which succeeds in promoting analytic continuation for newcomers (although I also recomment appendix in the book by Kadanoff&Baym): it seems like many people get impression of this being a topic of secondary importance, whereas it is the conerstone of the imaginary time techniques.
I also recommend Abrikosov et al. as a classic and a good sample of how the things are done in majority of the papers (and the Dover edition is really cheap).
Sorry for Mahan, as it makes a good reference book, but not a book you can learn from.
I found that more practical people give preference to the book by Jauho and Haug- it is not a bad one, has Keldysh technique, and containes useful references to important review papers.
Finally, I recommend the book by Negele and Orland as a more modern look at "many-body physics" as it is versus "Green's functions books".

Rating:
Summary: solid text
Review: I find F&W's writing lucid and their math clear. it's more fleshed out than a text like mahan. the only drawback is that it's old fashioned.

so I would get this over abrikosov et al, it's not as complete as mahan, and you'd need another text if you wanted to learn about path integral techniques, but pound for pound (and considering that dover reprints are cheap) it holds its own.

Rating:
Summary: Excellent Book
Review: This book is a clever and classical textbook for physics graduates who wish to go beyond the one particle quantum mechanics. Its many problems helps establishing the concepts of field theory.

Rating:
Summary: classical text for many particle theory
Review: This book is one of the most famous textbooks for the many
particle theory. I like it and recommend to anyone who studies
many particle theory for the first time. But, I should make some
comments on this book. First, this book does not contain any
descriptions for the path integral method, which is now very
popular in the field of many particle theory and is compactly
explained in Negele and Orland. Second, applications seems to be
somewhat old. This is inevitable and not author's fault. For
example, modern nuclear theory goes far beyond the RPA. Third,
authors focused on the perturbational expansion of the Green's
function and did not give explanations how to use the Feynman
diagrams to calculate the energy corrections for the fermion
systems, which is found in March, Raimes and Gross.

Anyway, this is a good book. I hope everyone likes it!

Rating:
Summary: A second year graduate student
Review: Very consistent and easy to learn book. I like this book much more than famous one by Abrikosov,Gorkov, Dzyaloshinskii.

Rating:
Summary: Still a Standard Text
Review: Very well written and with a comprehensive explanation of the basics of advanced quantum theory. This is the place for understanding about computing propagators and Feynman diagrams to arbitrary order.

Plus, the Dyson equation! At last, you can find out what made Freeman Dyson famous amongst physicists. You can decide whether this ranks in importance to Feynman's and Schwinger's discoveries.

The problem sets are nontrivial. Which will be appreciated by you, AFTER you have attempted them. (Whilst you are in an allnighter, trying to finish a problem set, your opinion may differ!)

The book does not cover superstrings, because those came after its publication.