A comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research, is provided in two volumes. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to-the-fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics.
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Book Description
Editorial Reviews
Review
"I strongly recommend these two volumes to anyone from intermediate graduate students to active experienced researchers to aging veterans who need to be reminded of or learn for the first time the broad conceptual framework underlying the many current applications of field theoretic methods." Paul Ginsparg, Foundations of Physics
"...an excellent pedagogically oriented introduction to the essential fundamentals of this rapidly expanding field. The level of treatment and clarity make it suitable for use as a primary reference in a graduate course." D. J. Geldart, Physics in Canada
"...an excellent pedagogically oriented introduction to the essential fundamentals of this rapidly expanding field. The level of treatment and clarity make it suitable for use as a primary reference in a graduate course." D. J. Geldart, Physics in Canada
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Most Helpful Customer Reviews
2 of 5 people found the following review helpful:
5.0 out of 5 stars
first vol only,
By chicken head cut off "mcscientist" (Gainesville/Orsay France) - See all my reviews
This review is from: Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory (Cambridge Monographs on Mathematical Physics) (Paperback)
i think the first chapter is a b---- to get through, but after i did that i found the entire book either particularly useful or insightful. volume two never motivated it's own purchase.I read it in frech, so i cant talk about how well things are explained in english, just in case anything was lost in translation, but with something like chapter two on grassman variables i dont think it's such a big deal. to put it succintly chapter 2 makes berezin's book obsolete to me and i feel that way about the whole book.
2 of 6 people found the following review helpful:
1.0 out of 5 stars
The worst text-book on theoretical physics I ever read,
This review is from: Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory (Cambridge Monographs on Mathematical Physics) (Paperback)
This book is simply awful.
I couldn't understand a lot of derivations. Before buying this book I studied the standard course on QFT by Peskin and Schroeder.(I solved 95% of its problems, so I'm not stupid!). The reason I bought the book by Itzykson and Drouffe was to study some interesting advanced topics in QFT. I began with Ising model and immediately got stuck. I read previous reviews on this book. The authors praised it. I wonder if any of them could proceed from formula 65 to 66? (first volume) Did any of them understand the derivation of Szego lemma? What about Kac determinant? I found that even original article by Itzykson was written better and with more care than this book.(!) Still it's worth buying as the source of references. That's why one *.
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First Sentence:
It may seem surprising to start our study with a description of Brownian motion. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ddk eik, renormalized functions, strong coupling series, continuous field theory, ultraviolet fixed point, cutoff factor, ultraviolet behaviour, dimensional continuation, disorder operators, renormalized theory, regularized theory, fermionic action, spin wave approximation, upper critical dimension, perimeter law, massless theory, bare theory, strong coupling expansions, continuous symmetry group, vertex functions, renormalization transformation, roughening transition, superficial degree, renormalized quantities, finite renormalization Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Springer Verlag, Academic Press, Cambridge University Press, Lecture Notes, Nuovo Cimento, World Scientific New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
It may seem surprising to start our study with a description of Brownian motion. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ddk eik, renormalized functions, strong coupling series, continuous field theory, ultraviolet fixed point, cutoff factor, ultraviolet behaviour, dimensional continuation, disorder operators, renormalized theory, regularized theory, fermionic action, spin wave approximation, upper critical dimension, perimeter law, massless theory, bare theory, strong coupling expansions, continuous symmetry group, vertex functions, renormalization transformation, roughening transition, superficial degree, renormalized quantities, finite renormalization Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Springer Verlag, Academic Press, Cambridge University Press, Lecture Notes, Nuovo Cimento, World Scientific New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 12
books:
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100
books
cite this book:
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- Introduction to Phase Transitions and Critical Phenomena (International Series of Monographs on Physics) by H. Eugene Stanley on page 160, and page 230
- Quantum Field Theory (Dover Books on Physics) by Claude Itzykson in Front Matter, and page 402
- Index, Volume 20 (Phase Transitions and Critical Phenomena) by Cyril Domb on page 230, and page 312
- Gauge Theories of Weak Interactions (Cambridge Monographs on Mathematical Physics) by J. C. Taylor on page 402
- Renormalization Group (Physics Notes) by Giuseppe Benfatto on page 233
See all 12 books this book cites
- Constitutions of Matter: Mathematically Modeling the Most Everyday of Physical Phenomena by Martin H. Krieger on 4 pages
- Statistical Physics: Statics, Dynamics and Remormalization by Leo P. Kadanoff on page 244, and page 291
- Quantum Geometry: A Statistical Field Theory Approach (Cambridge Monographs on Mathematical Physics) by Jan Ambjørn in Front Matter, and Back Matter
- Coherent-Anomaly Method: Mean Field, Fluctuations and Systematics by M. Suzuki on page 43, and page 350
- Quantum Field Theory in Condensed Matter Physics by Alexei M. Tsvelik on page 251, and page 355
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