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| Week | Lectures | Dates | Topics | Ref.* | Homework |
|---|---|---|---|---|---|
| 1. | 1. 2. |
Sep.28 Sep.30 |
Organization and outline of the Course; An example of how to estimate a cross section Causality and QFT; Overview of Classical Field Theory |
PS_1 PS_2.1; PS_2.2 |
|
| 2. | 3. 4. |
Oct.5 Oct.7 |
Second Quantization: the Klein-Gordon Field Lorentz Invariance |
PS_2.3; PS_2.4 PS_3.1 |
HW#1 |
| 3. | 5. 6. |
Oct.12 Oct.14 |
Dirac Equation and its Free Particle Solutions Dirac Matrices and Field Bilinears |
PS_3.2; PS_3.3 PS_3.4 |
|
| 4. | 7. 8. |
Oct.19 Oct.21 |
Quantization of the Dirac Field, Spin and Statistics, the Dirac Propagator |
PS_3.5 |
HW#2 |
| 5. | 9. 10. |
Oct.26 Oct.28 |
Discrete Symmetries of the Dirac Theory: Parity, Time Reversal, Charge Conjugation Perturbation Theory: Introduction Perturbative Expansion of Correlation Functions |
PS_3.6 PS_4.1, PS_4.2 |
|
| 6. | 11. 12. |
Nov.2 Nov.4 |
Wick's Theorem Feynman Diagrams Cross Sections and the S-matrix |
PS_4.3 PS_4.4 PS_4.5 |
|
| 7. | 13. | Nov.9 | Computing S-Matrix Elements from Feynman Diagrams | PS_4.6 | HW#3 |
| 8. | 14. 15. |
Nov.16 Nov.18 |
Feynman Rules for Fermions and for QED Trace Technology; Outline of e+e- -> mu+mu- |
PS_4.7, PS_4.8 PS_5.1 |
|
| 9. | 16. 17. |
Nov.23 Nov.25 |
e+e- -> mu+mu-: Helicity Structure e+e- -> mu+mu-: Non-relativistic Limit Crossing Symmetry |
PS_5.2 PS_5.3 PS_5.4 |
HW#4 |
| 10. | 18. 19. |
Nov.30 Dec.2 |
Compton Scattering Schwinger-Dyson equations and functional integrals |
PS_5.5 TB_3.1; TB_3.2 |
Final |