| LEC # | TOPICS | FILES |
|---|---|---|
| Non-Abelian Gauge Theories | ||
| 1 | Symmetries, Lie Groups and Lie Algebras | (PDF) |
| 2 | The Gauge Principle (Quantum Electrodynamics Revisited) | (PDF) |
| 3 | Non-Abelian Generalizations: Yang-Mills Theory | (PDF) |
| 4 | Non-Abelian Generalizations: Yang-Mills Theory (cont.) | (PDF) |
| 5 | Quantization of Non-Abelian Gauge Theories | (PDF) |
| 6 | Becchi-Rouet-Stora-Tyutin (BRST) Symmetry, Physical States and Unitarity | (PDF) |
| General Aspects | ||
| 7 | Field and Mass Renormalizations | (PDF) |
| 8 | An Explicit Example | (PDF) |
| 9 | Removing Ultraviolet Divergences | (PDF) |
| 10 | Unstable Particles and Resonances | (PDF) |
| 11 | S-Matrix Elements and LSZ Reduction | (PDF) |
| General Aspects of QED | ||
| 12 | Renormalized Lagrangian | (PDF) |
| 13 | Renormalized Lagrangian (cont.) | (PDF) |
| 14 | Vertex Function | (PDF) |
| 15 | Anomalous Magnetic Moment | (PDF) |
| 16 | Vacuum Polarization | (PDF) |
| General Renormalization Theory | ||
| 17 | Degrees of Divergences | (PDF) |
| 18 | Cancellation of Divergences | (PDF) |
| 19 | Cancellation of Divergences (cont.) | (PDF) |
| Renormalization Group | ||
| 20 | Wilson's Approach to Field Theories | (PDF) |
| 21 | Renormalization Group Flow | (PDF) |
| 22 | Renormalization Group Flow (cont.) | (PDF) |
| 23 | Renormalization Group Flow (cont.); Beta-Functions from the Traditional Approach | (PDF) |
| 24 | Beta-Functions from the Traditional Approach (cont.) | (PDF) |
| 25 | Beta-Functions from the Traditional Approach (cont.) | (PDF) |
| 26 | Beta-Functions from the Traditional Approach (cont.) | (PDF) |