Quantum Field Theory / Part I: |
Relativistic Wave Equations / 1.: |
Special Relativity and Spacetime / 1.1: |
Contravariant and Covariant Vectors / 1.2: |
Lorentz Transformations / 1.3: |
Klein-Gordon Equation / 1.4: |
Dirac Equation / 1.5: |
Prescriptions for Negative-Energy States / 1.6: |
Feynman Diagrams / 1.7: |
Loops, Trees, and Infinities / 1.8: |
Background and Further Reading / 1.9: |
Canonical Quantization of Local Field Theories / 2.: |
Quantization in Discrete Mechanics / 2.1: |
General Properties of the Action / 2.2: |
Lagrangian Densities for Free Fields / 2.3: |
Quantization of the Real Scalar Field / 2.4: |
Quantization of a Complex Scalar Field / 2.5: |
Quantization of the Dirac Field / 2.6: |
Quantization of the Electromagnetic Field / 2.7: |
Noether's Theorem / 2.8: |
Interactions between Fields / 2.9: |
Perturbation Theory and Evaluation of the S-Matrix / 2.10: |
Interaction Representation / 3.1: |
Definition of the S-Matrix / 3.2: |
Interaction Picture Fourier Expansions / 3.3: |
Reduction by Wick's Theorem / 3.4: |
Example: Self-Coupled Scalar Field / 3.5: |
Differential Cross Sections / 3.6: |
Example: Spinor Electrodynamics / 3.7: |
Graphs That Are Excluded / 3.8: |
Feynman Rules for Electrodynamics / 3.9: |
Path Integral Quantization / 3.10: |
Nonrelativistic Path Integral / 4.1: |
Path Integral for Field Theory / 4.2: |
Evaluation of Path Integrals / 4.3: |
Grassmann Variables / 4.4: |
Fermions in the Path Integral / 4.6: |
Ghost Fields / 4.7: |
Gauge Field Theories / 4.8: |
Symmetry and Group Theory / 5.: |
Introduction to the Theory of Groups / 5.1: |
Lie Groups and Lie Algebras / 5.2: |
Unitary Symmetries / 5.3: |
Topological Properties / 5.4: |
Weak and Electromagnetic Interactions / 5.5: |
QED: Prototype Quantum Field Theory / 6.1: |
Phenomenology of the Weak Interactions / 6.2: |
Problems with the Fermi Phenomenology / 6.3: |
Renormalization in QED / 6.4: |
Renormalization and Weak Interactions / 6.5: |
Yang--Mills Fields / 6.6: |
Local Non-Abelian Gauge Invariance / 7.1: |
Properties of Yang--Mills Fields / 7.2: |
Path-Dependent Representations / 7.3: |
Spontaneously Broken Symmetry and the Higgs Mechanism / 7.4: |
Classical Symmetry Modes / 8.1: |
A Simple Example / 8.2: |
Goldstone Bosons / 8.3: |
The Higgs Mechanism / 8.4: |
Some General Remarks / 8.5: |
Standard Electroweak Model / 8.6: |
The Electroweak Gauge Group / 9.1: |
Standard Model for Leptonic Interactions / 9.2: |
Inclusion of Hadrons / 9.3: |
Critique of the Standard Theory / 9.4: |
The Strong Interactions and Quantum Chromodynamics / 9.5: |
Properties of Quarks / 10.1: |
Evidence for Gluons / 10.2: |
Deep Inelastic Lepton Scattering / 10.3: |
Partons / 10.4: |
The Quark-Parton Model / 10.5: |
Quantum Chromodynamics / 10.6: |
Grand Unified Theories / 10.7: |
Evolution of Coupling Constants / 11.1: |
Minimal Criteria for a GUT Group / 11.2: |
The SU (5) Grand Unified Theory / 11.3: |
Decay of the Proton / 11.4: |
Models and Applications / 11.5: |
Models for QCD / 12.: |
Confinement Phenomenology / 12.1: |
Current Algebra and Chiral Symmetry / 12.2: |
Linear [sigma]-Model / 12.3: |
Chiral SU(3) [times] SU(3) Symmetry / 12.4: |
Bag Models / 12.5: |
Nonrelativistic Potential Models / 12.6: |
Non-Perturbative Methods in Gauge Field Theories / 12.7: |
Lattice Gauge Theory / 13.1: |
Topology of Group Manifolds / 13.2: |
Solitons in (1+1) Dimensions / 13.3: |
Quantization of Solitons / 13.4: |
More Dimensions and Derrick's Theorem / 13.5: |
Topological Conservation Laws in (2+1) and (3+1) Dimensions / 13.6: |
Yang-Mills Instantons / 13.7: |
Skyrmions / 13.8: |
Deconfined Quarks and Gluons / 13.9: |
Deconfining and Chiral Phase Transitions / 14.1: |
Simple Thermodynamical Considerations / 14.2: |
Debye Screening in the Plasma / 14.3: |
Finite Temperature Yang-Mills Theory / 14.4: |
Chiral Phase Transition / 14.5: |
Hydrodynamics at 1 GeV/Nucleon / 14.6: |
Ultrarelativistic Hydrodynamics / 14.7: |
Production of Baryon-Poor Plasmas / 14.8: |
Experimental Evidence / 14.9: |
Cosmology and Gauge Theories / 14.10: |
The Hot Big Bang / 15.1: |
Baryogenesis / 15.2: |
Problems with the Hot Big Bang / 15.3: |
Inflationary Cosmologies / 15.4: |
Appendices / 15.5: |
Natural Units / A.: |
Hadronic Properties / B.: |
Relativistic Kinematic Variables / C.: |
Exercise Solutions / D.: |
References |
Index |
Quantum Field Theory / Part I: |
Relativistic Wave Equations / 1.: |
Special Relativity and Spacetime / 1.1: |
Contravariant and Covariant Vectors / 1.2: |
Lorentz Transformations / 1.3: |
Klein-Gordon Equation / 1.4: |