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QED Notes - Sergi.pdf

Syllabus

This course is a continuation of Quantum Field Theory.

1. Review of background material

   • Quantum mechanics.
   • Scalar field theory.
   • Heisenberg Picture and Feynman propagators.
   • Fermion fields and Dirac Quantization (quick introduction).
   • The Classical Lagrangian for QED.

2. Interacting Field Theory

• Interactions and Correlation functions.
• Kallen-Lehmann representation and renormalization.
• LSZ reduction formula.
• Evaluation of S-matrix elements.
• Feynman Diagrams.

3. Feynman Diagrams  and Processes for QED.

• Interacting theory with fermions
• Quantization of the Photon.
• Feynman Diagrams for QED.
• Scattering amplitudes. • Compton scattering.
• Electron-electron scattering.
• Electron-positron annihilation.• Evaluation of cross-sections.

4. Renormalization

• Perturbative renormalization in QED. • Regularization and Ward Identities.
• Radiative corrections.

Notes taken from the lectures

Notes taken from the lectures