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

This textbook gives a comprehensive summary of the gauge theories of the fundamental interactions. The authors stress the intimate connection between the basic experimental facts and the formulation of gauge theories of the strong and electroweak interaction. The concepts and technical tools of quantum field theory are presented. They are used to derive precision results of quantum chromodynamics and the standard model of the electroweak interaction of experiments in elementary particle physics. The book includes the latest experimental results and presents the actual status of the theory.

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.