Gauge Theories of the Strong and Electroweak Interaction

1 Phenomenological basis of gauge theories of strong, electromagnetic, and weak interactions.- 1.1 Elementary particles and their interactions.- 1.2 Elements of relativistic quantum field theory.- 1.3 The quark model of hadrons.- 1.4 Basics of the electroweak interaction.- 1.5 The quark-parton model.- 1.6 Higher-order field-theoretical effects in QED.- 1.7 Towards gauge theories of strong and electroweak interactions.- 2 Quantum theory of Yang-Mills fields.- 2.1 Green functions and S-matrix elements.- 2.2 Path-integral representation of quantum field theory.- 2.3 Local gauge invariance.- 2.4 Path-integral formulation of gauge theories.- 2.5 Renormalization of quantum field theories.- 2.6 Renormalization group.- 2.7 Anomalies.- 2.8 Infrared and collinear singularities.- 2.9 Non-perturbative aspects of gauge theories.- 2.10 Lattice approximation of gauge theories.- 3 Quantum Chromodynamics.- 3.1 Asymptotic freedom of QCD.- 3.2 QCD in deep-inelastic scattering.- 3.3 Perturbative Quantum Chromodynamics.- 3.4 Heavy-quark effective theory (HQET).- 3.5 Light quarks and chiral perturbation theory.- 3.6 Results of lattice approximation of QCD.- 3.7 Quark confinement.- 3.8 A test of QCD: the running of ?S.- 4 Gauge theories of the electroweak interaction.- 4.1 Spontaneous symmetry breaking.- 4.2 The Standard Model of the Electroweak Interaction.- 4.3 Simple applications of the Electroweak Standard Model.- 4.4 Quantization of the Electroweak Standard Model.- 4.5 Renormalization of the Electroweak Standard Model.- 4.6 Electroweak radiative corrections.- 5 Extensions of the Standard Model.- 5.1 Grand unified theories (GUTs).- 5.2 Supersymmetry.- A Appendix.- A.1 Conventions.- A.2 Feynman rules for the Electroweak Standard Model.- General references.

Professor Dr. Manfred Böhm, Universität Würzburg
Dr. Ansgar Denner, Villingen
Professor Dr. Hans Joos, Universität Hamburg