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

About the Author

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)

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