Quantum Field Theory and Critical Phenomena Fifth Edition

Jean Zinn-Justin, Scientific adviser at CEA and Academy member, IRFU/CEA, Paris-Saclay University

Jean Zinn-Justin, Scientific Advisor, CEA, Paris-Saclay. Jean Zinn-Justin has worked as a theoretical and mathematical physicist at Saclay Nuclear Research Centre (CEA) since 1965, where he was also Head of the Institute of Theoretical Physics from 1993-1998. Since 2010 he has also held the position of Adjunct Professor at Shanghai University. Previously he has served as a visiting professor at the Massachusetts Institute of Technology (MIT), Princeton University, State University of New York at Stony Brook, and Harvard University. He directed the Les Houches Summer School for theoretical physics from 1987 to 1995. He has served on editorial boards for several influential physics journals including the French Journal de Physique, Nuclear Physics B, Journal of Physics A, and the New Journal of Physics.

Preface
1. Gaussian integrals. Algebraic preliminaries
2. Euclidean path integrals and quantum mechanics
3. Quantum mechanics: Path integrals in phase space
4. Quantum statistical physics: Functional integration formalism
5. Quantum evolution: From particles to fields
6. The neutral relativistic scalar field
7. Perturbative quantum field theory: Algebraic methods
8. Ultraviolet divergences: Effective quantum field theory
9. Introduction to renormalization theory and renormalization group
10. Dimensional continuation, regularization. Minimal subtraction, RG functions
11. Renormalization of local polynomials. Short distance expansion
12. Relativistic fermions: Introduction
13. Symmetries, chiral symmetry breaking and renormalization
14. Critical phenomena: General considerations. Mean-field theory
15. The renormalization group approach: The critical theory near dimension 4
16. Critical domain: Universality, "-expansion
17. Critical phenomena: Corrections to scaling behaviour
18. O(N)-symmetric vector models for N large
19. The non-linear ?-model near two dimensions: Phase structure
20. GrossDSNeveuDSYukawa and GrossDSNeveu models
21. Abelian gauge theories: The framework of quantum electrodynamics
22. Non-Abelian gauge theories: Introduction
23. The Standard Model of fundamental interactions
24. Large momentum behaviour in quantum field theory
25. Lattice gauge theories: Introduction
26. BRST symmetry, gauge theories: Zinn-Justin equation and renormalization
27. Supersymmetric quantum field theory: Introduction
28. Elements of classical and quantum gravity
29. Generalized non-linear ?-models in two dimensions
30. A few two-dimensional solvable quantum field theories
31. O(2) spin model and KosterlitzDSThouless?s phase transition
32. Finite-size effects in field theory. Scaling behaviour
33. Quantum field theory at finite temperature: Equilibrium properties
34. Stochastic differential equations: Langevin, FokkerDSPlanck equations
35. Langevin field equations, properties and renormalization
36. Critical dynamics and renormalization group
37. Instantons in quantum mechanics
38. Metastable vacua in quantum field theory
39. Degenerate classical minima and instantons
40. Perturbative expansion at large orders
41. Critical exponents and equation of state from series summation
42. Multi-instantons in quantum mechanics
Bibliography
Index