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| Prface to the first edition Preface to the second edition 1 Intropduction:synosis of particle physics 1.1 Quantum field theory 1.2 Gravitation 1.3 Strong interactions 1.4 Weak interactions 1.5 Leptonic quantum numbers 1.6 Hadronic quantum numbers 1.7 Resonances 1.8 The quark model 1.9 SU（2）,SU（3）SU（4） 1.10 Dynamical evidence for quarks 1.11 Colour 1.12 QCD 1.13 Weak interactions Guide to further reading 2 Single-particle relativistic wave equations 2.1 Rel;ativistic notation 2.2 Klein-Gordon equation 2.3 Dirac equation SU（2）and the rotaion group SL（2,C）and the antiparticles 2.4 Prdiciton of antiparticles 2.5 Construction of Dirac spinors:algebra of 2.6 Non-relativistic limit and the electron magnetic moment 2.7 The relevance of the Pointcare group operators and the zero mass limit 2.8 Maxwell and Proca equations 2.9 Maxwell's equations and differential geometry Summary Guide to further reading 3 Lagrangian formulation, symmetries and gauge fields 3.1 Lagrangian formulation ofparticle mechanics 3.2 The real scalar field: variational principle and Noether's theorem 3.3 Complex scalar fields and the electromagnetic field 3.4 Topology and the vacuum: the Bohm-Aharonov effect 3.5 The Yang-Mills field 3.6 The geometry of gauge fields Summary Guide to further reading 4 Canonical quantisation and particle interpretation 4.1 The real Klein-Gordon field 4.2 The complex Klein-Gordon field 4.3 The Dirac field 4.4 The electromagnetic field Radiation gauge quantisation Lorentz gauge quantisation 4.5 The massive vector field Summary Guide to further reading 5 Path integrals and quantum mechanics 5.1 Path-integralformulation ofquantum mechanics 5.2 Perturbation theory and the S matrix 5.3 Coulombscattering 5.4 Functional calculus: differentiation 5.5 Further properties of path integrals Appendix: some useful integrals Summary Guide to further reading 6 Path-integral quantisation and Feynman rules:scalar and spinor fields 6.1 Generating functionalfor scalar fields 6.2 Functional integration 6.3 Free particle Green's functions 6.4 Generating functionals forinteracting fields …… 7 Path-imtegral quantisation:gauge fields 8 Spontaneous symmetry breaking and the Weinberg-Salam model 9 Renormalisation 10 Toplogical objects in field theory References Index |
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