Quantum field theory and critical phenomena Book

1	Algebraic Preliminaries	1
2	Euclidean Path Integrals in Quantum Mechanics	19
3	Path Integrals in Quantum Mechanics: Generalizations	42
4	Stochastic Differential Equations: Langevin, Fokker-Planck Equations	60
5	Path and Functional Integrals in Quantum Statistical Physics	83
6	Quantum Evolution: From Particles to Fields	110
7	Quantum Field Theory: Functional Methods and Perturbation Theory	145
8	Relativistic Fermions	184
9	Quantum Field Theory: Divergences and Regularization	212
10	Introduction to Renormalization Theory. Renormalization Group Equations	243
11	Dimensional Regularization, Minimal Subtraction: RG Functions	275
12	Renormalization of Composite Operators. Short Distance Expansion	296
13	Symmetries and Renormalization	313
14	The Non-Linear [sigma]-Model: An Example of a Non-Linear Symmetry	346
15	General Non-Linear Models in Two Dimensions	365
16	ST and BRS Symmetries. Stochastic Field Equations	396
17	From Langevin Equation to Supersymmetry	419
18	Abelian Gauge Theories	448
19	Non-Abelian Gauge Theories: Introduction	487
20	The Standard Model. Anomalies	505
21	Gauge Theories: Master Equation and Renormalization	532
22	Classical and Quantum Gravity. Riemannian Manifolds and Tensors	549
23	Critical Phenomena: General Considerations	577
24	Mean Field Theory for Ferromagnetic Systems	592
25	General Renormalization Group. The Critical Theory near Dimension Four	616
26	Scaling Behaviour in the Critical Domain	636
27	Corrections to Scaling Behaviour	660
28	Non-Magnetic Systems and the ([phi][superscript 2])[superscript 2] Field Theory	675
29	Calculation of Universal Quantities	690
30	The O(N) Vector Model for N Large	710
31	Phase Transitions near Two Dimensions	733
32	Two-Dimensional Models and Bosonization Method	759
33	The O(2) Classical Spin Model in Two Dimensions	787
34	Critical Properties of Gauge Theories	800
35	UV Fixed Points in Quantum Field Theory	817
36	Critical Dynamics	832
37	Field Theory in a Finite Geometry: Finite Size Scaling	852
38	Quantum Field Theory at Finite Temperature: Equilibrium Properties	885
39	Instantons in Quantum Mechanics	931
40	Unstable Vacua in Quantum Field Theory	956
41	Degenerate Classical Minima and Instantons	980
42	Perturbation Series at Large Orders. Summation Methods	997
43	Multi-Instantons in Quantum Mechanics	1020
	Index	1047