Part Ⅰ Spin Zero 1
1 Attempts at relativistic quantum mechanics 3
2 Lorentz invariance(prerequisite:1) 15
3 Canonical quantization of scalar fields(2) 22
4 The spin-statistics theorem(3) 31
5 The LSZ reduction formula(3) 35
6 Path integrals in quantum mechanics 43
7 The path integral for the harmonic oscillator(6) 50
8 The path integral for free field theory(3,7) 54
9 The path integral for interacting field theory(8) 58
10 Scattering amplitudes and the Feynman rules(5,9) 73
11 Cross sections and decay rates(10) 79
12 Dimensional analysis with ？=c=1(3) 90
13 The Lehmann-K？llén form of the exact propagator(9) 93
14 Loop corrections to the propagator(10,12,13) 96
15 The one-loop correction in Lehmann-K？llén form(14) 107
16 Loop corrections to the vertex(14) 111
17 Other 1PI vertices(16) 115
18 Higher-order corrections and renormalizability(17) 117
19 Perturbation theory to all orders(18) 121
20 Two-particle elastic scattering at one loop(19) 123
21 The quantum action(19) 127
22 Continuous symmetries and conserved currents(8) 132
23 Discrete symmetries:P,T,C,and Z(22) 140
24 Nonabelian symmetries(22) 146
25 Unstable particles and resonances(14) 150
26 Infrared divergences(20) 157
27 Other renormalization schemes(26) 162
28 The renormalization group(27) 169
29 Effective field theory(28) 176
30 Spontaneous symmetry breaking(21) 188
31 Broken symmetry and loop corrections(30) 192
32 Spontaneous breaking of continuous symmetries(22,30) 198
Part Ⅱ Spin One Half 203
33 Representations of the Lorentz group(2) 205
34 Left-and right-handed spinor fields(3,33) 209
35 Manipulating spinor indices(34) 216
36 Lagrangians for spinor fields(22,35) 221
37 Canonical quantization of spinor fields Ⅰ(36) 232
38 Spinor technology(37) 237
39 Canonical quantization of spinor fields Ⅱ(38) 244
40 Parity,time reversal,and charge conjugation(23,39) 252
41 LSZ reduction for spin-one-half particles(5,39) 261
42 The free fermion propagator(39) 267
43 The path integral for fermion fields(9,42) 271
44 Formal development of fermionic path integrals(43) 275
45 The Feynman rules for Dirac fields(10,12,41,43) 282
46 Spin sums(45) 291
47 Gamma matrix technology(36) 294
48 Spin-averaged cross sections(46,47) 298
49 The Feynman rules for Majorana fields(45) 303
50 Massless particles and spinor helicity(48) 308
51 Loop corrections in Yukawa theory(19,40,48) 314
52 Beta functions in Yukawa theory(28,51) 324
53 Functional determinants(44,45) 327
Part Ⅲ Spin One 333
54 Maxwell's equations(3) 335
55 Electrodynamics in Coulomb gauge(54) 339
56 LSZ reduction for photons(5,55) 344
57 The path integral for photons(8,56) 349
58 Spinor electrodynamics(45,57) 351
59 Scattering in spinor electrodynamics(48,58) 357
60 Spinor helicity for spinor electrodynamics(50,59) 362
61 Scalar electrodynamics(58) 371
62 Loop corrections in spinor electrodynamics(51,59) 376
63 The vertex function in spinor electrodynamics(62) 385
64 The magnetic moment of the electron(63) 390
65 Loop corrections in scalar electrodynamics(61,62) 394
66 Beta functions in quantum clectrodynamics(52,62) 403
67 Ward identities in quantum electrodynamics Ⅰ(22,59) 408
68 Ward identities in quantum electrodynamics Ⅱ(63,67) 412
69 Nonabelian gauge theory(24,58) 416
70 Group representations(69) 421
71 The path integral for nonabelian gauge theory(53,69) 430
72 The Feynman rules for nonabelian gauge theory(71) 435
73 The beta function in nonabelian gauge theory(70,72) 439
74 BRST symmetry (70,71) 448
75 Chiral gauge theories and anomalies(70,72) 456
76 Anomalies in global symmetries(75) 468
77 Anomalies and the path integral for fermions(76) 472
78 Background field gauge(73) 478
79 Gervais Neveu gauge(78) 486
80 The Feynman rules for N×N matrix fields(10) 489
81 Scattering in quantum chromodynamics(60,79,80) 495
82 Wilson loops,lattice theory,and confinement(29,73) 507
83 Chiral symmetry breaking(76,82) 516
84 Spontaneous breaking of gauge symmetries(32,70) 526
85 Spontaneously broken abelian gauge theory(61,84) 531
86 Spontaneously broken nonabelian gauge theory(85) 538
87 The Standard Model:gauge and Higgs sector(84) 543
88 The Standard Model:lepton sector(75,87) 548
89 The Standard Model:quark sector(88) 556
90 E1ectroweak interactions of hadrons(83,89) 562
91 Neutrino masses(89) 572
92 Solitons and monopoles(84) 576
93 Instantons and theta vacua(92) 590
94 Quarks and theta vacua(77,83,93) 601
95 Supersymmetry(69) 610
96 The Minimal Supersymmetric Standard Model(89,95) 622
97 Grand unification(89) 625
Bibliography 636
Index 637