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Physics
Quantum Physics
Quantum Field Theory
1. Foundations and Preliminaries
2. Canonical Quantization of Free Fields
3. Interacting Fields and Perturbation Theory
4. Quantum Electrodynamics
5. Renormalization Theory
6. Functional Methods
7. Symmetries and Symmetry Breaking
8. Non-Abelian Gauge Theories
9. The Standard Model
10. Advanced Topics
Quantum Electrodynamics
QED Lagrangian
Dirac Field Coupled to Electromagnetic Field
Minimal Coupling Prescription
Covariant Derivative
Gauge Invariance
Local U(1) Symmetry
Gauge Transformations of Fields
Feynman Rules for QED
Propagators
Electron Propagator
Photon Propagator
Vertices
Electron-Photon Vertex
Vertex Factor
External Lines
Electron and Positron States
Photon Polarizations
Tree-Level Processes
Electron-Electron Scattering
Møller Scattering
Coulomb Scattering
Electron-Positron Scattering
Bhabha Scattering
Annihilation Channel
Compton Scattering
Photon-Electron Scattering
Klein-Nishina Formula
Pair Production and Annihilation
Electron-Positron Pair Creation
Two-Photon Annihilation
Ward-Takahashi Identity
Current Conservation
Gauge Invariance Consequences
Ward Identity
Implications for Renormalization
Charge Renormalization
Vertex Corrections
One-Loop Corrections
Electron Self-Energy
Mass Renormalization
Anomalous Magnetic Moment
Vertex Corrections
Vertex Function
Form Factors
Vacuum Polarization
Photon Self-Energy
Running of Electric Charge
Infrared Divergences
Soft Photon Emission
Bloch-Nordsieck Theorem
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3. Interacting Fields and Perturbation Theory
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5. Renormalization Theory