本书介绍量子场论方法，读者只需要掌握基本的量子力学和狭义相对论的相关知识就能读懂。作者从简单事例引出现象背后的深刻物理概念，利于理解；从不同历史时期的经典成果讲到现代议题，便于掌握。

Preface for students
Preface for instructors
Acknowledgments
Part Ⅰ Spin Zero
1 Attempts at relativistic quantum mechanics
2 Lorentz invariance (prerequisite: 1)
3 Canonical quantization of scalar fields (2)
4 The spin-statistics theorem (3)
5 The LSZ reduction formula (3)
6 Path integrals in quantum mechanics
7 The path integral for the harmonic oscillator (6)
8 The path integral for free field theory (3, 7)
9 The path integral for interacting field theory (8)
10 Scattering amplitudes and the Feynman rules (5, 9)
11 Cross sections and decay rates (10)
12 Dimensional analysis with h = c = i (3)
13 The Lehmann-Kallen form of the exact propagator (9)
14 Loop corrections to the propagator (10, 12, 13)
15 The one-loop correction in Lehmann-Kallen form (14)
16 Loop corrections to the vertex (14)
17 Other 1PI vertices (16)
18 Higher-order corrections and renormalizability (17)
19 Perturbation theory to all orders (18)
20 Two-particle elastic scattering at one loop (19)
21 The quantum action (19)
22 Continuous symmetries and conserved currents (8)
23 Discrete symmetries: P, T, C, and Z (22)
24 Nonabelian symmetries (22)
25 Unstable particles and resonances (14)
26 Infrared divergences (20)
27 Other renormalization schemes (26)
28 The renormalization group (27)
29 Effective field theory (28)
30 Spontaneous symmetry breaking (21)
31 Broken symmetry and loop corrections (30)
32 Spontaneous breaking of continuous symmetries (22, 30)
Part Ⅱ Spin One Half
33 Representations of the Lorentz group (2)
34 Left- and right-handed spinor fields (3, 33)
35 Manipulating spinor indices (34)
36 Lagrangians for spinor fields (22, 35)
37 Canonical quantization of spinor fields I (36)
38 Spinor technology (37)
39 Canonical quantization of spinor fields II (38)
40 Parity, time reversal, and charge conjugation (23, 39)
41 LSZ reduction for spin-one-half particles (5, 39)
42 The free fermion propagator (39)
43 The path integral for fermion fields (9, 42)
44 Formal development of fermionic path integrals (43)
45 The Feynman rules for Dirac fields (10, 12, 41, 43)
46 Spin sums (45)
47 Gamma matrix technology (36)
48 Spin-averaged cross sections (46, 47)
49 The Feynman rules for Majorana fields (45)
50 Massless particles and spinor helicity (48)
51 Loop corrections in Yukawa theory (19, 40, 48)
52 Beta functions in Yukawa theory (28, 51)
53 Functional determinants (44, 45)
Part Ⅲ Spin One
54 Maxwell's equations (3)
55 Electrodynamics in Coulomb gauge (54)
56 LSZ reduction for photons (5, 55)
57 The path integral for photons (8, 56)
58 Spinor electrodynamics (45, 57)
59 Scattering in spinor electrodynamics (48, 58)
60 Spinor helicity for spinor electrodynamics (50, 59)
61 Scalar electrodynamics (58)
62 Loop corrections in spinor electrodynamics (51, 59)
63 The vertex function in spinor electrodyna, mics (62)
64 The magic moment of the electron (63)
65 Loop corrections in scalar electrodynamics (61, 62)
66 Beta functions in quantum electrodynamics (52, 62)
67 Ward identities in quantum electrodynamics I (22, 59)
68 Ward identities in quantum electrodynamics II (63, 67)
69 Nonabelian gauge theory (24, 58)
70 Group representations (69)
71 The path integral for nonabelian gauge theory (53, 69)
72 The Feynman rules for nonabelian gauge theory (71)
73 The beta function in nonabelian gauge theory (70, 72)
74 BRST symmetry (70, 71)
75 Chiral gauge theories and anomalies (70, 72)
76 Anomalies in global symmetries (75)
77 Anomalies and the path integral for fermions (76)
78 Background field gauge (73)
79 Gervais-Neveu gauge (78)
80 The Feynman rules for N x N matrix fields (10)
81 Scattering in quantum chromodynamics (60, 79, 80)
82 Wilson loops, lattice theory, and confinement (29, 73)
83 Chiral symmetry breaking (7