Overview

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 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 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. Exercises that were originally included in previous editions will be supplied online at www-spht.ceafr/articles/T02/001.

Full Product Details

Author:   Jean Zinn-Justin (CEA/Saclay, Service de Physique Theorique, Gif sur Yvette, France)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Edition:   4th Revised edition
Volume:   113
Dimensions:   Width: 17.40cm , Height: 6.00cm , Length: 24.80cm
Weight:   1.950kg
ISBN:  

9780198509233

ISBN 10:   0198509235
Pages:   1080
Publication Date:   06 June 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

1: Algebraic Preliminaries 2: Euclidean Path Integrals in Quantum Mechanics 3: Path Integrals in Quantum Mechanics: Generalizations 4: Stochastic Differential Equatons: Langevin, Fokker-Planck Equations 5: Path and Functional Integrals in Quantum Statistical Physics 6: Quantum Evolution: from Particles to Fields 7: Quantum Field Theory: Functional Methods. Perturbation Theory 8: Relativistic Fermions 9: Quantum Field Theory: Divergences and Regularization 10: Introduction to Renormalization Theory. Renormalization Group Equations 11: Dimensional Regularization, Minimal Subtraction: RG Functions 12: Renormalization of Composite Operators. Short Distance Expansion 13: Symmetries and Renormalization 14: The Non-Linear sigma-Model: An Example of a Non-Linear Symmetry 15: General Non-Linear Models in Two Dimensions 16: BRS Symmetry and Stochastic Field Equations 17: From Langevin Equation to Supersymmetry 18: Abelian Gauge Theories 19: Non-Abelian Gauge Theories: Introduction 20: The Standard Model. Anomalies 21: Gauge Theories: Master Equation and Renormalization 22: Classical and Quantum Gravity. Riemannian Manifolds and Tensors 23: Critical Phenomena: General Considerations 24: Mean Field Theory for Ferromagnetic Systems 25: General Renormalization Group. The Critical Theory Near Dimension Four 26: Scaling Behaviour in the Critical Domain 27: Corrections to Scaling Behaviour 28: Non-Magnetic Systems and the (phi squared)squared Field Theory (see TOC for exact title) 29: Calculation of Universal Quantities 30: The O(N) Vector Model for N Large 31: Phase Transitions Near Two Dimensions 32: Two-Dimensional Modes and Bosonization Method 33: The O(2) Classical Spin Model in Two Dimensions 34: Critical Properties of Gauge Theories 35: UV Fixed Points in Quantum Field Theory 36: Critical Dynamics 37: Field Theory in a Finite Geometry: Finite Size Scaling 38: Quantum Field Theory at Finite Temperature: Equilibrium Properties 39: Instantons in Quantum Mechanics 40: Unstable Vacua in Quantum Field Theory 41: Degenerate Classical Minima and Instantons 42: Perturbation Series at Large Orders. Summation Methods 43: Multi-Instantons in Quantum Mechanics

Reviews

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

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

Author Information

Prof Jean Zinn-Justin CEA/Saclay, Service de Physique Théorique, 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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