Preface |
Non-Abelian Symmetries / V: |
Global Non-Abelian Symmetries / 12: |
The Standard Model / 12.1: |
The flavour symmetry SU(2)f / 12.2: |
The nucleon isospin doublet and the group SU(2) / 12.2.1: |
Larger (higher-dimensional) multiplets of SU(2) in nuclear physics / 12.2.2: |
Isospin in particle physics: flavour SU(2)f / 12.2.3: |
Flavour SU(3)f / 12.3: |
Non-Abelian global symmetries in Lagrangian quantum field theory / 12.4: |
SU(2)f and SU(3)f / 12.4.1: |
Chiral symmetry / 12.4.2: |
Problems |
Local Non-Abelian (Gauge) Symmetries / 13: |
Local SU(2) symmetry / 13.1: |
The covariant derivative and interactions with matter / 13.1.1: |
The non-Abelian field strength tensor / 13.1.2: |
Local SU(3) Symmetry / 13.2: |
Local non-Abelian symmetries in Lagrangian quantum field theory / 13.3: |
Local SU(2) and SU(3) Lagrangians / 13.3.1: |
Gauge field self-interactions / 13.3.2: |
Quantizing non-Abelian gauge fields / 13.3.3: |
QCD and the Renormalization Group / VI: |
QCD I: Introduction, Tree Graph Predictions, and Jets / 14: |
The colour degree of freedom / 14.1: |
The dynamics of colour / 14.2: |
Colour as an SU(3) group / 14.2.1: |
Global SU(3)c invariance, and 'scalar gluons' / 14.2.2: |
Local SU(3)c invariance: the QCD Lagrangian / 14.2.3: |
The θ-term / 14.2.4: |
Hard scattering processes, QCD tree graphs, and jets / 14.3: |
Introduction / 14.3.1: |
Two-jet events in pp collisions / 14.3.2: |
Three-jet events in pp collisions / 14.3.3: |
3-jet events in e+e- annihilation / 14.4: |
Calculation of the parton-level cross section / 14.4.1: |
Soft and collinear divergences / 14.4.2: |
Definition of the two-jet cross section in e+e- annihilation / 14.5: |
Further developments / 14.6: |
Test of non-Abelian nature of QCD in e+e- → 4 jets / 14.6.1: |
Jet algorithms / 14.6.2: |
QCD II: Asymptotic Freedom, the Renormalization Group, and Scaling Violations / 15: |
Higher-order QCD corrections to σ(e+e- → hadrons): large logarithms / 15.1: |
The renormalization group and related ideas in QED / 15.2: |
Where do the large logs come from? / 15.2.1: |
Changing the renormalization scale / 15.2.2: |
The RGE and large -q2 behaviour in QED / 15.2.3: |
Back to QCD: asymptotic freedom / 15.3: |
One loop calculation / 15.3.1: |
Higher-order calculations, and experimental comparison / 15.3.2: |
σ(e+e- → hadrons) revisited / 15.4: |
A more general form of the RGE: anomalous dimensions and running masses / 15.5: |
QCD corrections to the parton model predictions for deep inelastic scattering: scaling violations / 15.6: |
Uncancelled mass singularities at order αs / 15.6.1: |
Factorization, and the order αs DGLAP equation / 15.6.2: |
Comparison with experiment / 15.6.3: |
Lattice Field Theory, and the Renormalization Group Revisited / 16: |
Discretization / 16.1: |
Scalar fields / 16.2.1: |
Dirac fields / 16.2.2: |
Gauge fields / 16.2.3: |
Representation of quantum amplitudes / 16.3: |
Quantum mechanics / 16.3.1: |
Quantum field theory / 16.3.2: |
Connection with statistical mechanics / 16.3.3: |
Renormalization, and the renormalization group, on the lattice / 16.4: |
Two one-dimensional examples / 16.4.1: |
Connections with particle physics / 16.4.3: |
Lattice QCD / 16.5: |
Introduction, and the continuum limit / 16.5.1: |
The static qq potential / 16.5.2: |
Calculation of α(MZ2) / 16.5.3: |
Hadron masses / 16.5.4: |
Spontaneously Broken Symmetry / VII: |
Spontaneously Broken Global Symmetry / 17: |
The Fabri-Picasso theorem / 17.1: |
Spontaneously broken symmetry in condensed matter physics / 17.3: |
The ferromagnet / 17.3.1: |
The Bogoliubov superfluid / 17.3.2: |
Goldstone's theorem / 17.4: |
Spontaneously broken global U(1) symmetry: the Goldstone model / 17.5: |
Spontaneously broken global non-Abelian symmetry / 17.6: |
The BCS superconducting ground state / 17.7: |
Chiral Symmetry Breaking / 18: |
The Nambu analogy / 18.1: |
Two flavour QCD and SU(2)f L × SU(2)f R / 18.1.1: |
Pion decay and the Goldberger-Treiman relation / 18.2: |
Effective Lagrangians / 18.3: |
The linear and non-linear σ-models / 18.3.1: |
Inclusion of explicit symmetry breaking: masses for pions and quarks / 18.3.2: |
Extension to SU(3)f L × SU(3)f R / 18.3.3: |
Chiral anomalies / 18.4: |
Spontaneously Broken Local Symmetry / 19: |
Massive and massless vector particles / 19.1: |
The generation of 'photon mass' in a superconductor: Ginzburg-Landau theory and the Meissner effect / 19.2: |
Spontaneously broken local U(1) symmetry: the Abelian Higgs model / 19.3: |
Flux quantization in a superconductor / 19.4: |
't Hooft's gauges / 19.5: |
Spontaneously broken local SU(2) × U(1) symmetry / 19.6: |
Weak Interactions and the Electroweak Theory / VIII: |
Introduction to the Phenomenology of Weak Interactions / 20: |
Fermi's 'current-current' theory of nuclear β-decay, and its generalizations / 20.1: |
Parity violation in weak interactions, and V-A theory / 20.2: |
Parity violation / 20.2.1: |
V-A theory: chirality and helicity / 20.2.2: |
Lepton number and lepton flavours / 20.3: |
The universal current × current theory for weak interactions of leptons / 20.4: |
Calculation of the cross section for νμ + e- → μ- + νe / 20.5: |
Leptonic weak neutral currents / 20.6: |
Quark weak currents / 20.7: |
Two generations / 20.7.1: |
Deep inelastic neutrino scattering / 20.7.2: |
Three generations / 20.7.3: |
Non-leptonic weak interactions / 20.8: |
CP Violation and Oscillation Phenomena / 21: |
Direct CP violation in B decays' / 21.1: |
CP violation in B meson oscillations / 21.2: |
Time-dependent mixing formalism / 21.2.1: |
Determination of the angles α(φ2) and β( φ1) of the unitarity triangle / 21.2.2: |
CP violation in neutral K-meson decays / 21.3: |
Neutrino mixing and oscillations / 21.4: |
Neutrino mass and mixing / 21.4.1: |
Neutrino oscillations: formulae / 21.4.2: |
Neutrino oscillations: experimental results / 21.4.3: |
Matter effects in neutrino oscillations / 21.4.4: |
The Glashow-Salam-Weinberg Gauge Theory of Electroweak Interactions / 21.4.5: |
Difficulties with the current-current and 'naive' IVB models / 22.1: |
Violations of unitarity / 22.1.1: |
The problem of non-renormalizability in weak interactions / 22.1.2: |
The SU(2) × U(1) electroweak gauge theory / 22.2: |
Quantum number assignments; Higgs, W and Z masses / 22.2.1: |
The leptonic currents (massless neutrinos): relation to current-current model / 22.2.2: |
The quark currents / 22.2.3: |
Simple (tree-level) predictions / 22.3: |
The discovery of the W± and Z0 at the CERN pp collider / 22.4: |
Production cross sections for W and Z in pp colliders / 22.4.1: |
Charge asymmetry in W± decay / 22.4.2: |
Discovery of the W± and Z0 at the pp collider, and their properties / 22.4.3: |
Fermion masses / 22.5: |
One generation / 22.5.1: |
Three-generation mixing / 22.5.2: |
Higher-order corrections / 22.6: |
The top quark / 22.7: |
The Higgs sector / 22.8: |
Theoretical considerations concerning mH / 22.8.1: |
Higgs boson searches and the 2012 discovery / 22.8.3: |
Group Theory / M: |
Definition and simple examples / M.1: |
Lie groups / M.2: |
Generators of Lie groups / M.3: |
Examples / M.4: |
SO (3) and three-dimensional rotations / M.4.1: |
SU(2) / M.4.2: |
SO(4): The special orthogonal group in four dimensions / M.4.3: |
The Lorentz group / M.4.4: |
SU(3) / M.4.5: |
Matrix representations of generators, and of Lie groups / M.5: |
The relation between SU(2) and SO(3) / M.6: |
Geometrical Aspects of Gauge Fields / N: |
Covariant derivatives and coordinate transformations / N.1: |
Geometrical curvature and the gauge field strength tensor / N.2: |
Dimensional Regularization / O: |
Grassmann Variables / P: |
Feynman Rules for Tree Graphs in QCD and the Electroweak Theory / Q: |
QCD / Q.1: |
External particles / Q.1.1: |
Propagators / Q.1.2: |
Vertices / Q.1.3: |
The electroweak theory / Q.2: |
References / Q.2.1: |
Index |
Preface |
Non-Abelian Symmetries / V: |
Global Non-Abelian Symmetries / 12: |