| |
| |
Preface to the second edition | |
| |
| |
Preface to the first edition | |
| |
| |
Notation | |
| |
| |
| |
The particle physicist's view of Nature | |
| |
| |
| |
Introduction | |
| |
| |
| |
The construction of the Standard Model | |
| |
| |
| |
Leptons | |
| |
| |
| |
Quarks and systems of quarks | |
| |
| |
| |
Spectroscopy of systems of light quarks | |
| |
| |
| |
More quarks | |
| |
| |
| |
Quark colour | |
| |
| |
| |
Electron scattering from nucleons | |
| |
| |
| |
Particle accelerators | |
| |
| |
| |
Units | |
| |
| |
| |
Lorentz transformations | |
| |
| |
| |
Rotations, boosts and proper Lorentz transformations | |
| |
| |
| |
Scalars, contravariant and covariant four-vectors | |
| |
| |
| |
Fields | |
| |
| |
| |
The Levi-Civita tensor | |
| |
| |
| |
Time reversal and space inversion | |
| |
| |
| |
The Lagrangian formulation of mechanics | |
| |
| |
| |
Hamilton's principle | |
| |
| |
| |
Conservation of energy | |
| |
| |
| |
Continuous systems | |
| |
| |
| |
A Lorentz covariant field theory | |
| |
| |
| |
The Klein-Gordon equation | |
| |
| |
| |
The energy-momentum tensor | |
| |
| |
| |
Complex scalar fields | |
| |
| |
| |
Classical electromagnetism | |
| |
| |
| |
Maxwell's equations | |
| |
| |
| |
A Lagrangian density for electromagnetism | |
| |
| |
| |
Gauge transformations | |
| |
| |
| |
Solutions of Maxwell's equations | |
| |
| |
| |
Space inversion | |
| |
| |
| |
Charge conjugation | |
| |
| |
| |
Intrinsic angular momentum of the photon | |
| |
| |
| |
The energy density of the electromagnetic field | |
| |
| |
| |
Massive vector fields | |
| |
| |
| |
The Dirac equation and the Dirac field | |
| |
| |
| |
The Dirac equation | |
| |
| |
| |
Lorentz transformations and Lorentz invariance | |
| |
| |
| |
The parity transformation | |
| |
| |
| |
Spinors | |
| |
| |
| |
The matrices [gamma][superscript mu] | |
| |
| |
| |
Making the Lagrangian density real | |
| |
| |
| |
Free space solutions of the Dirac equation | |
| |
| |
| |
A Dirac particle at rest | |
| |
| |
| |
The intrinsic spin of a Dirac particle | |
| |
| |
| |
Plane waves and helicity | |
| |
| |
| |
Negative energy solutions | |
| |
| |
| |
The energy and momentum of the Dirac field | |
| |
| |
| |
Dirac and Majorana fields | |
| |
| |
| |
The E >> m limit, neutrinos | |
| |
| |
| |
Electrodynamics | |
| |
| |
| |
Probability density and probability current | |
| |
| |
| |
The Dirac equation with an electromagnetic field | |
| |
| |
| |
Gauge transformations and symmetry | |
| |
| |
| |
Charge conjugation | |
| |
| |
| |
The electrodynamics of a charged scalar field | |
| |
| |
| |
Particles at low energies and the Dirac magnetic moment | |
| |
| |
| |
Quantising fields: QED | |
| |
| |
| |
Boson and fermion field quantisation | |
| |
| |
| |
Time dependence | |
| |
| |
| |
Perturbation theory | |
| |
| |
| |
Renornmalisation and renormalisable field theories | |
| |
| |
| |
The magnetic moment of the electron | |
| |
| |
| |
Quantisation in the Standard Model | |
| |
| |
| |
The weak interaction: low energy phenomenology | |
| |
| |
| |
Nuclear beta decay | |
| |
| |
| |
Pion decay | |
| |
| |
| |
Conservation of lepton number | |
| |
| |
| |
Muon decay | |
| |
| |
| |
The interactions of muon neutrinos with electrons | |
| |
| |
| |
Symmetry breaking in model theories | |
| |
| |
| |
Global symmetry breaking and Goldstone bosons | |
| |
| |
| |
Local symmetry breaking and the Higgs boson | |
| |
| |
| |
Massive gauge fields | |
| |
| |
| |
SU(2) symmetry | |
| |
| |
| |
The gauge fields | |
| |
| |
| |
Breaking the SU(2) symmetry | |
| |
| |
| |
Identification of the fields | |
| |
| |
| |
The Weinberg-Salam electroweak theory for leptons | |
| |
| |
| |
Lepton doublets and the Weinberg-Salam theory | |
| |
| |
| |
Lepton coupling to the W[superscript plusminus] | |
| |
| |
| |
Lepton coupling to the Z | |
| |
| |
| |
Conservation of lepton number and conservation of charge | |
| |
| |
| |
CP symmetry | |
| |
| |
| |
Mass terms in L: an attempted generalisation | |
| |
| |
| |
Experimental tests of the Weinberg-Salam theory | |
| |
| |
| |
The search for the gauge bosons | |
| |
| |
| |
The W[superscript plusminus] bosons | |
| |
| |
| |
The Z boson | |
| |
| |
| |
The number of lepton families | |
| |
| |
| |
The measurement of partial widths | |
| |
| |
| |
Left-right production cross-section asymmetry and lepton decay asymmetry of the Z boson | |
| |
| |
| |
The electromagnetic and weak interactions of quarks | |
| |
| |
| |
Construction of the Lagrangian density | |
| |
| |
| |
Quark masses and the Kobayashi-Maskawa mixing matrix | |
| |
| |
| |
The parameterisation of the KM matrix | |
| |
| |
| |
CP symmetry and the KM matrix | |
| |
| |
| |
The weak interaction in the low energy limit | |
| |
| |
| |
The hadronic decays of the Z and W bosons | |
| |
| |
| |
Hadronic decays of the Z | |
| |
| |
| |
Asymmetry in quark production | |
| |
| |
| |
Hadronic decays of the W[superscript plusminus] | |
| |
| |
| |
The theory of strong interactions: quantum chromodynamics | |
| |
| |
| |
A local SU(3) gauge theory | |
| |
| |
| |
Colour gauge transformations on baryons and raesons | |
| |
| |
| |
Lattice QCD and asymptotic freedom | |
| |
| |
| |
The quark-antiquark interaction at short distances | |
| |
| |
| |
The conservation of quarks | |
| |
| |
| |
Isospin symmetry | |
| |
| |
| |
Chiral symmetry | |
| |
| |
| |
Quantum chromodynamics: calculations | |
| |
| |
| |
Lattice QCD and confinement | |
| |
| |
| |
Lattice QCD and hadrons | |
| |
| |
| |
Perturbative QCD and deep inelastic scattering | |
| |
| |
| |
Perturbative QCD and e[superscript +]e[superscript -] collider physics | |
| |
| |
| |
The Kobayashi-Maskawa matrix | |
| |
| |
| |
Leptonic weak decays of hadrons | |
| |
| |
| |
V[subscript ud] and nuclear [beta] decay | |
| |
| |
| |
More leptonic decays | |
| |
| |
| |
CP symmetry violation in neutral kaon decays | |
| |
| |
| |
B meson decays and B[Degree], B[Degree] mixing | |
| |
| |
| |
The CPT theorem | |
| |
| |
| |
Neutrino masses and mixing | |
| |
| |
| |
Neutrino masses | |
| |
| |
| |
The weak currents | |
| |
| |
| |
Neutrino oscillations | |
| |
| |
| |
The MSW effect | |
| |
| |
| |
Neutrino masses and the Standard Moael | |
| |
| |
| |
Parameterisation of U | |
| |
| |
| |
Lepton number conservation | |
| |
| |
| |
Sterile neutrinos | |
| |
| |
| |
Neutrino masses and mixing: experimental results | |
| |
| |
| |
Introduction | |
| |
| |
| |
K2K | |
| |
| |
| |
Chooz | |
| |
| |
| |
KamLAND | |
| |
| |
| |
Atmospheric neutrinos | |
| |
| |
| |
Solar neutrinos | |
| |
| |
| |
Solar MSW effects | |
| |
| |
| |
Future prospects | |
| |
| |
| |
Majorana neutrinos | |
| |
| |
| |
Majorana neutrino fields | |
| |
| |
| |
Majorana Lagrangian density | |
| |
| |
| |
Majorana field equations | |
| |
| |
| |
Majorana neutrinos: mixing and oscillations | |
| |
| |
| |
Parameterisation of U | |
| |
| |
| |
Majorana neutrinos in the Standard Model | |
| |
| |
| |
The seesaw mechanism | |
| |
| |
| |
Are neutrinos Dirac or Majorana? | |
| |
| |
| |
Anomalies | |
| |
| |
| |
The Adler-Bell-Jackiw anomaly | |
| |
| |
| |
Cancellation of anomalies in electroweak currents | |
| |
| |
| |
Lepton and baryon anomalies | |
| |
| |
| |
Gauge transformations and the topological number | |
| |
| |
| |
The instability of matter, and matter genesis | |
| |
| |
Epilogue | |
| |
| |
Reductionism complete? | |
| |
| |
| |
An aide-memoire on matrices | |
| |
| |
| |
Definitions and notation | |
| |
| |
| |
Properties of n x n matrices | |
| |
| |
| |
Hermitian and unitary matrices | |
| |
| |
| |
A Fierz transformation | |
| |
| |
| |
The groups of the Standard Model | |
| |
| |
| |
Definition of a group | |
| |
| |
| |
Rotations of the coordinate axes, and the group SO(3) | |
| |
| |
| |
The group SU(2) | |
| |
| |
| |
The group SL (2,C) and the proper Lorentz group | |
| |
| |
| |
Transformations of the Pauli matrices | |
| |
| |
| |
Spinors | |
| |
| |
| |
The group SU(3) | |
| |
| |
| |
Annihilation and creation operators | |
| |
| |
| |
The simple harmonic oscillator | |
| |
| |
| |
An assembly of bosons | |
| |
| |
| |
An assembly of fermions | |
| |
| |
| |
The parton model | |
| |
| |
| |
Elastic electron scattering from nucleons | |
| |
| |
| |
Inelastic electron scattering from nucleons: the parton model | |
| |
| |
| |
Hadronic states | |
| |
| |
| |
Mass matrices and mixing | |
| |
| |
| |
K[Degree] and K[Degree] | |
| |
| |
| |
B[Degree] and B[Degree] | |
| |
| |
References | |
| |
| |
Hints to selected problems | |
| |
| |
Index | |