Quantum Field Theory

  1. Quantum Electrodynamics
    1. QED Lagrangian
      1. Dirac Field Coupled to Electromagnetic Field
        1. Minimal Coupling Prescription
          1. Covariant Derivative
          2. Gauge Invariance
            1. Local U(1) Symmetry
              1. Gauge Transformations of Fields
            2. Feynman Rules for QED
              1. Propagators
                1. Electron Propagator
                  1. Photon Propagator
                  2. Vertices
                    1. Electron-Photon Vertex
                      1. Vertex Factor
                      2. External Lines
                        1. Electron and Positron States
                          1. Photon Polarizations
                        2. Tree-Level Processes
                          1. Electron-Electron Scattering
                            1. Møller Scattering
                              1. Coulomb Scattering
                              2. Electron-Positron Scattering
                                1. Bhabha Scattering
                                  1. Annihilation Channel
                                  2. Compton Scattering
                                    1. Photon-Electron Scattering
                                      1. Klein-Nishina Formula
                                      2. Pair Production and Annihilation
                                        1. Electron-Positron Pair Creation
                                          1. Two-Photon Annihilation
                                        2. Ward-Takahashi Identity
                                          1. Current Conservation
                                            1. Gauge Invariance Consequences
                                              1. Ward Identity
                                              2. Implications for Renormalization
                                                1. Charge Renormalization
                                                  1. Vertex Corrections
                                                2. One-Loop Corrections
                                                  1. Electron Self-Energy
                                                    1. Mass Renormalization
                                                      1. Anomalous Magnetic Moment
                                                      2. Vertex Corrections
                                                        1. Vertex Function
                                                          1. Form Factors
                                                          2. Vacuum Polarization
                                                            1. Photon Self-Energy
                                                              1. Running of Electric Charge
                                                              2. Infrared Divergences
                                                                1. Soft Photon Emission
                                                                  1. Bloch-Nordsieck Theorem