The book is an introduction to quantum field theory and renormalization group. It shows that these frameworks are essential for the understanding of phenomena belonging to many different areas of physics, which range from phase transitions in macroscopic systems to the theory of fundamental interactions. This advanced new edition is based on graduate courses and summer schools given by the author over a number of years. Although there are several good textbooks on QFT, this is the first to emphasize the common aspects of particle physics and the theory of critical phenomena in a unified framework. The book has been fully updated, with about 50% new material added. Three new chapters have been included: an introduction to non-relativistic quantum statistical physics; a chapter on critical phenomena in non-magnetic systems, polymers, liquid-vapour, and helium superfluid transitions; and a chapter on finite temperature relativistic quantum field theory. The book can be roughly divided into four parts: chapters 1-12 deal with general field theory, functional integrals, and functional methods. In chapters 13-21, renormalization properties of theories with symmetries are studied and specific applications to particle physics are emphasized. Chapters 23-37 are devoted to critical phenomena. Chapters 39-43 describe the role of instantons in quantum mechanics and field theory.
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Editorial Reviews
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Review from previous edition:
"This excellent book offers a systematic presentation of the quantum field theory approach in describing all fundamental interactions in particle physics and the second order phase transition in statistical mechanics" Giuseppe Mussardo, Mathematical Reviews
"...a remarkable achievement..." I. D. Lawrie, Contemporary Physics
"This excellent book is surely destined to become a valuable and standard work of reference." Lewis Ryder, Times Higher Educational Supplement
"This excellent book offers a systematic presentation of the quantum field theory approach in describing all fundamental interactions in particle physics and the second order phase transition in statistical mechanics" Giuseppe Mussardo, Mathematical Reviews
"...a remarkable achievement..." I. D. Lawrie, Contemporary Physics
"This excellent book is surely destined to become a valuable and standard work of reference." Lewis Ryder, Times Higher Educational Supplement
About the Author
Prof Jean Zinn-Justin CEA/Saclay, Service de Physique Theorique, Gif-sur-Yvette, France 13, Domaine de Seignelay, F92290 Chatenay-Malabry (home address) tel. home: 33146600200, prof: 33169087468 fax: home idem fax prof: 33169088120 Email: zinn@spht.saclay.cea.fr French, born 10-07-1943, Berlin (Germany)
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18 of 19 people found the following review helpful:
4.0 out of 5 stars
Nice written overview of QFT from a stat mech perspective,
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This review is from: Quantum Field Theory and Critical Phenomena (Oxford Science Publications) (Hardcover)
This book is a lengthy discussion of quantum field theory from the viewpoint of statistical mechanics. The author does a good job in connecting the theory of quantum fields with critical phenomena in statistical mechanics. Path integration is used throughout (more detailed discussion could be useful on how one relates the real time formulation for time independent Hamiltonians to the Euclidean formulation). It is the Euclidean functional integral that is exploited throughout the book to make the connections between QFT and statistical mechanics.The author should have discussed the issues with analytical continuation between the real time and imaginary time formulations. The discussion on instantons was very illuminating. -LC (Global Mathematics, Inc)
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First Sentence:
It is somewhat unusual to begin a physics textbook with algebraic identities, which are in general hidden in appendices. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
holomorphic formalism, renormalized correlation functions, mean field expansion, large momentum behaviour, large order behaviour, critical correlation functions, renormalized action, whole critical domain, bare correlation functions, linear symmetry breaking, degenerate classical minima, correlation functions converge, proper vertices, connected correlation functions, pure gauge action, invariant correlation functions, momentum regularization, parametrize the field, gaussian expectation values, renormalized field theory, quartic anharmonic oscillator, gaussian fixed point, hypercubic symmetry, large distance physics, gauge field coupled Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Standard Model, Les Houches, Academic Press, Monte Carlo, Nuovo Cimento, World Scientific, Cambridge University Press, Quantum Electrodynamics, Recent Advances, Acta Phys, Solid State Phys, Lecture Notes, Lectures Notes, Princeton University Press, Quantum Chromodynamics, The Method of Second Quantization, Van Vleck, Chiral Dynamics, General Relativity, Physique Lett, Plenum Press, Theory of Quantized Fields New!
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It is somewhat unusual to begin a physics textbook with algebraic identities, which are in general hidden in appendices. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
holomorphic formalism, renormalized correlation functions, mean field expansion, large momentum behaviour, large order behaviour, critical correlation functions, renormalized action, whole critical domain, bare correlation functions, linear symmetry breaking, degenerate classical minima, correlation functions converge, proper vertices, connected correlation functions, pure gauge action, invariant correlation functions, momentum regularization, parametrize the field, gaussian expectation values, renormalized field theory, quartic anharmonic oscillator, gaussian fixed point, hypercubic symmetry, large distance physics, gauge field coupled Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Standard Model, Les Houches, Academic Press, Monte Carlo, Nuovo Cimento, World Scientific, Cambridge University Press, Quantum Electrodynamics, Recent Advances, Acta Phys, Solid State Phys, Lecture Notes, Lectures Notes, Princeton University Press, Quantum Chromodynamics, The Method of Second Quantization, Van Vleck, Chiral Dynamics, General Relativity, Physique Lett, Plenum Press, Theory of Quantized Fields New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 56
books:
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95
books
cite this book:
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- Index, Volume 20 (Phase Transitions and Critical Phenomena) by Cyril Domb on 10 pages
- Methods in Field Theory (Les Houches Summer School Proceedings) by R. Balian on 9 pages
- Recent Advances in Field Theory and Statistical Mechanics (Ecole D'ete De Physique Theoretique Les Houches//Proceedings) by Jean Bernard Zuber on 8 pages
- Quantum Field Theory (Dover Books on Physics) by Claude Itzykson on 5 pages
- The Method of Second Quantization by F. A. Berezin on 5 pages
See all 56 books this book cites
- Constitutions of Matter: Mathematically Modeling the Most Everyday of Physical Phenomena by Martin H. Krieger in Back Matter (1), Back Matter (2), and Back Matter (3)
- Lectures On Phase Transitions And The Renormalization Group (Frontiers in Physics) by Nigel Goldenfeld on page 193, page 303, and page 352
- Random Fields and Spin Glasses: A Field Theory Approach by Cirano De Dominicis on page 33, page 139, and Back Matter
- Topology and Geometry in Physics (Lecture Notes in Physics) by Eike Bick on page 5, page 170, and page 233
- Critical Properties of o4 Theories by Kleinert Hagen on page 28, and page 154
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