Quantum Chromodynamics

Quantum Chromodynamics is a thorough introduction for students in theoretical physics and scientists needing a reference and exercise book in this field. The book presents the necessary mathematical tools together with many examples and worked problems.
In introductory chapters the reader becomes familiar with the hadron spectrum, while the SU(N) symmetry groups and the relativistic field theory are briefly recapitulated; then a discussion of scalar quantum electrodynamics and scattering reactions follow before gauge quark-quark interactions, perturbational QCD, renormalization groups, and tests of pertubational QCD are all treated in detail. Chapters on non-perturbational QCD and quasi-phenomenological applications conclude the text.

1. The Introduction of Quarks. - 1. 1 The Hadron Spectrum. - 2. Review of Relativistic Field Theory. - 2. 1 Spinor Quantum Electrodynamics. - 2. 2 Scalar Quantum Electrodynamics. - 2. 3 Fermion Boson and Fermion7#x2014; Fermion Scattering. - 3. Scattering Reactions and the Internal Structure of Baryons. - 3. 1 Simple Quark Models Compared. - 3. 2 The Description of Scattering Reactions. - 3. 3 The MIT Bag Model. - 4. Gauge Theories and Quantum-Chromodynamics. - 4. 1 The Standard Model A Typical Gauge Theory. - 4. 2 The Gauge Theory of Quark Quark Interactions. - 4. 3 Dimensional Regularization. - 4. 4 The Renormalized Coupling Constant of QCD. - 5. Perturbative QCD I: Deep Inelastic Scattering. - 5. 1 The Gribov Lipatov Altarelli Parisi Equations. - 5. 2 An Alternative Approach to the GLAP Equations. - 5. 3 Common Parametrizations of the Distribution Functions and Anomalous Dimensions. - 5. 4 Renormalization and the Expansion Into Local Operators. - 5. 5 The Spin-Dependent Structure Functions. - 5. 6 The Spin-Dependent Structure Functions in the MIT Bag Model. - 6. Perturbative QCD II: The Drell Yan Process and the Gribov Levin Ryskin Equation. - 6. 1 The Drell Yan Process. - 6. 2 Small-x Physics and the Gribov Levin Ryskin Equation. - 7. Nonperturbative QCD. - 7. 1 Lattice Gauge Theories. - 7. 2 Lattice Theories at Finite Temperature. - 7. 3 QCD Sum Rules. - 8. Phenomenological Models for Non-Perturbative QCD Problems. - 8. 1 The Ground State of QCD. - 8. 2 The Quark-Gluon Plasma.