Quantum Field Theory and Critical Phenomena

Hardcover | June 15, 2002

byJean Zinn-Justin

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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 fundamentalinteractions. 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 aunified 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 superfluidtransitions; and a chaper 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 symmetriesare 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. Exercises that were originally included in previous editions will be supplied online atwww-spht.ceafr/articles/T02/001.

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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 fundamentalinteractions. This advanced new edition is base...

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)

other books by Jean Zinn-Justin

Format:HardcoverDimensions:1074 pages, 9.45 × 6.61 × 2.35 inPublished:June 15, 2002Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198509235

ISBN - 13:9780198509233

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Table of Contents

1. Algebraic Preliminaries2. Euclidean Path Integrals in Quantum Mechanics3. Path Integrals in Quantum Mechanics: Generalizations4. Stochastic Differential Equatons: Langevin, Fokker-Planck Equations5. Path and Functional Integrals in Quantum Statistical Physics6. Quantum Evolution: from Particles to Fields7. Quantum Field Theory: Functional Methods. Perturbation Theory8. Relativistic Fermions9. Quantum Field Theory: Divergences and Regularization10. Introduction to Renormalization Theory. Renormalization Group Equations11. Dimensional Regularization, Minimal Subtraction: RG Functions12. Renormalization of Composite Operators. Short Distance Expansion13. Symmetries and Renormalization14. The Non-Linear sigma-Model: An Example of a Non-Linear Symmetry15. General Non-Linear Models in Two Dimensions16. BRS Symmetry and Stochastic Field Equations17. From Langevin Equation to Supersymmetry18. Abelian Gauge Theories19. Non-Abelian Gauge Theories: Introduction20. The Standard Model. Anomalies21. Gauge Theories: Master Equation and Renormalization22. Classical and Quantum Gravity. Riemannian Manifolds and Tensors23. Critical Phenomena: General Considerations24. Mean Field Theory for Ferromagnetic Systems25. General Renormalization Group. The Critical Theory Near Dimension Four26. Scaling Behaviour in the Critical Domain27. Corrections to Scaling Behaviour28. Non-Magnetic Systems and the (phi squared)squared Field Theory (see TOC for exact title)29. Calculation of Universal Quantities30. The O(N) Vector Model for N Large31. Phase Transitions Near Two Dimensions32. Two-Dimensional Modes and Bosonization Method33. The O(2) Classical Spin Model in Two Dimensions34. Critical Properties of Gauge Theories35. UV Fixed Points in Quantum Field Theory36. Critical Dynamics37. Field Theory in a Finite Geometry: Finite Size Scaling38. Quantum Field Theory at Finite Temperature: Equilibrium Properties39. Instantons in Quantum Mechanics40. Unstable Vacua in Quantum Field Theory41. Degenerate Classical Minima and Instantons42. Perturbation Series at Large Orders. Summation Methods43. Multi-Instantons in Quantum Mechanics

Editorial Reviews

"This excellent book is surely destined to become a valuable and standard work of reference."Lewis Ryder, Times Higher Educational Supplement