量子场论 英文版PDF电子书下载

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