All homeworks should be submitted by 5 pm Friday (date indicated, unless otherwise indicated), online, as emailed PDF files. Do not put anything under my office door, at least until after the pandemic is over.
| Assignment | Reading | Problems | Due Date | Solutions |
|---|---|---|---|---|
| 1 | Path integrals and quantum mechanics: read lecture notes chapter 1. Also see Feynman's original paper. | 1.1, 1.2, 1.3, 1.5, 1.6, 1.7, 1.8, 1.10 | Fri Sept 4 | |
| 2 | Path integral quantization of scalars: Lecture notes chapter 2.1-2.3. | 2.1, 2.3, 2.4(a), 2.10 | Fri Sept 11 | |
| 3 | Lecture notes chapter 2.1-2.6 | 2.4(b-c), 2.5-2.9, 2.11, 2.13-2.14 | Fri Sept 18 | |
| 4 | Diagramology: Lecture notes chapter 3.1-3.2 | 2.15, 2.16, 2.18, 2.19, 3.1, 3.2, 3.3 | Fri Sept 25 | |
| 5 | Canonical quantization: Lecture notes chapter 4.1 | 3.5, 3.7, 4.1, 4.2 | Fri Oct 2 | |
| 6 | Lecture notes 4.1-4.2. | 4.3, 4.4, 4.6, 4.7, 4.9, 4.11 | Fri Oct 9 | |
| 7 | Fermions: Lecture notes chapter 5.1 | 4.12, 4.14, 5.1-5.4, 5.5(a,b,d,e,f) | Fri Oct 16 | |
| 8 | Lecture notes chapter 5.1-5.4 | 5.6, 5.7, 5.9 | Fri Oct 23 | |
| 9 | Lecture notes chapter 5 | 5.10-5.12 | Fri Oct 30 | |
| 10 | The renormalization group: Lecture notes chapter 6. | 6.1 | Fri Nov 6 | |
| 11 | Regularization methods: Lecture notes chapter 7.1-7.3. | 7.1, 7.3, 7.4, 7.5(a,b), 7.7, 7.8, 7.9 | Fri Nov 13 | |
| 12 | 7.10(a,b,e,f), 7.11-7.12, 8.3-8.4, 8.6 | Fri Nov 20 | ||
| 13 | Counterterm renormalization: Lecture notes chapter 8. | 8.1-8.2, 8.5, 8.7, 8.9 | Fri Dec 4 | |
| 14 | Renormalization group equation: Lecture notes chapter 9. | 9.1-9.3, 9.5, 9.7 | Fri Jan 29 | |
| 15 | Finite temperature field theory: Lecture notes chapter 10. | 10.1-10.3 | Mon Feb 8 | |
| 16 | Spontaneous symmetry breaking: Lecture notes chapter 12. | 12.1-12.5, 12.6(a-c), 12.7, 12.12 | Fri Feb 12 | |
| 17 | Composite operators: Lecture notes chapters 13.1-13.2. | 13.1-13.4 | Fri Feb 19 | |
| 18 | OPEs: Lecture notes chapters 13.3-13.4. | 13.5-13.7 | Mon Mar 1 | |
| 19 | CFT: Lecture notes chapter 14.1. | 14.1-14.4 | Fri Mar 5 | |
| 20 | CFT, effective field theory: Lecture notes chapters 14, 15 | 14.5-14.8 | Fri Mar 12 | |
| 21 | LSZ, the S-matrix, and scattering: Lecture notes chapter 16, 17.1. | 16.1, 16.5-16.6, 17.2-17.3 | Fri Mar 19 | |
| 22 | Quantization of gauge theories: Lecture notes chapters 17, 18.1-18.2. | 17.1, 18.1-18.5 | Fri Mar 26 | |
| 23 | Lecture notes 18.1-18.5 | 18.6-18.10 | Fri Apr 2 | |
| 24 | Lecture notes 18.1-18.7 | 18.11-18.12 | Fri Apr 9 | |
| 25 | Higgs phenomenon: Lecture notes chapter 19. | All exercises at the end of chapter 19. | Fri Apr 16 | |
| 26 | Instantons and monopoles: Lecture notes chapter 20.1. | 20.1-20.4 | Fri Apr 23 |
Point values:
Set 1: 10+5+5+10+(5+5)+10+10+(5+5); total points: 70.
Set 2: 5+10+5+(5+5); total points: 30.
Set 3: (10+5)+5+15+20+5+(5+5)+5+(10+5)+(5+5); total points: 100.
Set 4: 5+5+10+5 + (5+10)+10+10; total points: 60.
Set 5: (5+5+5+5) + (5+5+5) + 10 + (5+15+10+10); total points: 85.
Set 6: 5+(5+5+5+5+5)+5 + (5+5+5)+10+(5+10+5); total points: 80.
Set 7: 5+(5+10+5) + 10+(3+3+3)+(2+5+5)+15+ (5+5+5+5+5); total points = 96.
Set 8: (10+10+10+10+5) + (5+5+5) + (5+10); total points = 75.
Set 9: 5+(5+5+5)+5; total points: 25.
Set 10: 10; total points: 10.
Set 11: 5+(10+10)+5+(10+10)+(10+5) + (5+5+5)+(5+5); total points: 90.
Set 12: (5+5+10+10)+(5+5+5)+(5+5+5+5) + 10 +(5+10+10+5)+ 10; total points = 110.
Set 13: 5+5 +5+ (5+10+10+10+10+10)+5; total points = 75.
Set 14: 10+(5+5)+(10+5)+(5+5)+(5+5+5+15); total points: 75.
Set 15: 5+5+(5+10+10+10+10); total points: 55.
Set 16: 10+5+5+5+10+ (10+5+5) + (5+5+5) + (5+5+5); total points: 85.
Set 17: 5+5+(5+5+5)+(15+5+5); total points: 50.
Set 18: 10+10+10; total points: 30.
Set 19: 10+10+5+(5+5+10); total points: 45.
Set 20: (5+10+5+10+10)+(10+5)+10+5; total points: 70.
Set 21: (5+5+5)+ (10+5)+(5+5) + 10+(5+5+5+10); total points: 75.
Set 22: 10 + (5+5)+5+5+5+(10+10+5+10); total points: 70.
Set 23: 5 + 5+5+5+5; total points: 25.
Set 24: 10+15; total points: 25.
Set 25: (5+5+10+5+5+5); total points: 35.
Set 26: 5+5+5+(5+5+5+5); total points: 35.