目录 1 The Introduction of Quarks 1.1 The Hadron Spectrum 2 Review of Relativistic Field Theory 2.1 Spinor Quantum Electrodynamics 2.1.1 The Free Dirac Equation and Its Solution 2.1.2 Density and Current Density 2.1.3 Covariant Notation 2.1.4 Normalization of Dirac Spinors 2.1.5 Interaction with a Four-Potential Aμ 2.1.6 Transition Amplitudes 2.1.7 Discrete Symmetries 2.2 Scalar Quantum Electrodynamics 2.2.1 The Free Klein-Gordon Equation and its Solutions 2.2.2 Interaction of a π+ with a Potential Aμ 2.2.3 π+K+ Scattering 2.2.4 The Cross Section 2.2.5 Spin-1 Particles and Their Polarization 2.2.6 The Propagator for Virtual Photons 2.3 Fermion-Boson and Fermion-Fermion Scattering 2.3.1 Traces and Spin Summations 2.3.2 The Structure of the Form Factors from Invariance Considerations 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 4.5 Extended Example: Anomalies in Gauge Theories 4.5.1 The Schwinger Model on the Circle 4.5.2 Dirac Sea 4.5.3 Ultraviolet Regularization 4.5.4 Standard Derivation 4.5.5 Anomalies in QCD 4.5.6 The Axial and Scale Anomalies 4.5.7 Multiloop Corrections 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 Calculation of the Wilson Coefficients 5.6 The Spin-Dependent Structure Functions 6 Perturbative QCD II: The Drell-Yan Process and Small-x Physics 6.1 The Drell-Yan Process 6.2 Small-x Physics 7 Nonperturbative QCD 7.1 Lattice QCD Calculations 7.1.1 The Path Integral Method 7.1.2 Expectation Values 7.1.3 QCD on the Lattice 7.1.4 Gluons on the Lattice 7.1.5 Integration in SU(2) 7.1.6 Discretization: Scalar and Fermionic Fields 7.1.7 Fermionic Path Integral 7.1.8 Monte Carlo Methods 7.1.9 Metropolis Algorithm 7.1.10 Langevin Algorithms 7.1.11 The Microcanonical Algorithm 7.1.12 Strong and Weak Coupling Expansions 7.1.13 Weak-Coupling Approximation 7.1.14 Larger Loops in the Limit of Weak and Strong Coupling 7.1.15 The String Tension 7.1.16 The Lattice at Finite Temperature 7.1.17 The Quark Condensate 7.1.18 The Polyakov Loop 7.1.19 The Center Symmetry 7.2 QCD Sum Rules 8 Phenomenologieal Models for Nonperturbative QCD Problem 8.1 The Ground State of QCD 8.2 The Quark-Gluon Plasma Appendix A The Group SU(N) B Dirac Algebra in Dimension d C Some Useful Integrals Subject Index
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