All homeworks should be submitted by 5 pm date indicated, online, as emailed PDF files. Do not put anything under my office door.
| Assignment | Reading | Problems | Due Date | Solutions |
|---|---|---|---|---|
| 1 | Path integrals and quantum mechanics: read lecture notes chapter 1. Also see Feynman's original paper (Rev Mod Phys 20 (1948) 367-387). | 6455: 1.1-1.6; 4974: 1.1, 1.3, 1.6 | Fri Sept 6 | |
| 2 | 6455: 1.7-1.10; 4974: 1.7, 1.8 | Fri Sept 13 | ||
| 3 | Path integral quantization of scalars: read lecture notes chapter 2.1-2.3. | 6455: 2.1-2.4; 4974: 2.1, 2.3, 2.4(a) | Fri Sept 20 | |
| 4 | read lecture notes chapter 2. | 6455: 2.5-2.8, 2.10, 2.14, 2.15, 2.16, 2.19; string students also do 2.12. 4974: 2.5-2.7, 2.14, 2.19. | Fri Sept 27 | |
| 5 | Diagramology: lecture notes chapter 3. | 6455: 3.1-3.3, 3.5. 4974: 3.1, 3.5. | Fri Oct 4 | |
| 6 | 6455: 3.6, 3.8. 4974: 3.8. | Fri Oct 11 | ||
| 7 | Canonical quantization: lecture notes chapter 4.1. | 6455: 4.1-4.3, 4.6-4.7; string students also do 4.8; 4974: 4.1, 4.3, 4.6. | Fri Oct 18 | |
| 8 | lecture notes chapter 4. | 6455: 4.4, 4.9, 4.11, 4.12, 4.14; string students also do 4.8, 4.15. 4974: 4.9, 4.11, 4.14. UPDATE: 4.4, 4.11, and 4.12 are optional for everyone. | Fri Oct 25 | |
| 9 | Fermions: lecture notes chapters 5.1-5.2. | 6455: 5.1, 5.2, 5.3; string students also do 5.5, 5.8. 4974: 5.2, 5.3. | Fri Nov 1 | |
| 10 | lecture notes chapter 5. | 6455: 5.6(a-c), 5.10; string students also do 5.7, 5.12, 5.13. 4974: 5.6(a-c). | Fri Nov 8 | |
| 11 | The renormalization group, regularization: lecture notes chapters 6, 7. | 6455: 6.2, 7.1, 7.3(a), 7.5(a,b), 7.7-7.9, 7.11(a,b); string students also do 6.3. 4974: 6.2, 7.3(a), 7.5(a), 7.7, 7.9. | Fri Nov 22 | |
| 12 | Regularization: lecture notes chapter 7. | 6455: 7.10, 7.12, 7.14, 7.15. 4974: 7.12, 7.14, 7.15. | Fri Dec 6 | |
| No final exam -- grade determined by homeworks. | ||||
| 13 | Renormalization: lecture notes chapter 8. | 6456: 8.1-8.7, 8.10. 4974: 8.1-8.3, 8.5-8.7, 8.10. | Fri Jan 24 | |
| 14 | The renormalization group: lecture notes chapter 9. String theory students should also read Callan, Friedan, Martinec, Perry, "Strings in background fields," Nucl Phys B262 (1985) 593-609. This explains the relevance of RG fixed points for string theory. | 6456: 9.1, 9.3. 5974: 9.1, 9.3. | Fri Jan 31 | |
| 15 | The renormalization group: lecture notes chapter 9. | 6456: 9.2, 9.4-9.5, 9.7. 5974: 9.2, 9.4. | Fri Feb 7 | |
| 16 | Finite temperature field theory: lecture notes chapter 10. | 6456: 10.1-10.2, 10.3(a-c), 11.1-11.5. String theory students should also do appendix E.1, E.5, 10.5-10.6. 5974: 10.1, 10.3(a-c), 11.1-11.5. | Fri Feb 14 | |
| 17 | Spontaneous symmetry breaking: lecture notes chapter 11. | 6456: 11.6(a-c). 5974: 11.6(a-c). | Fri Feb 21 | |
| 18 | Spontaneous symmetry breaking: lecture notes chapter 11. | 6456: 11.7, 11.9, 12.1-12.3. String theory students must also do 11.10, 11.11. 5974: 11.7, 12.1-12.2. | Fri Feb 28 | |
| 19 | Composite operators and OPEs: lecture notes chapter 12. | 6456: 12.4-12.7. 5974: 12.4, 12.6 | Fri Mar 7 | |
| 20 | Conformal field theory: Lecture notes chapter 13. | 6456: 13.1-13.3, 13.5(a-c). 5974: 13.3, 13.5(a-b) | Fri Mar 21 |
Point values:
Set 1: 6455: 10+5+5+10+10+(5+5); total points = 50. 4974: 10+5+(5+5); total points = 25.
Set 2: 6455: 10+10+(10+5+10)+(5+5); total points = 55. 4974: 10+10; total points = 20.
Set 3: 6455: 5+10+10+(5+10+5); total points = 45. 4974: 5+10+5; total points = 20.
Set 4: 6455: 5+15+20+5 + (5+5) + (5+5)+5+5+5; total points = 80. 4974: 5+15+20 + (5+5) + 5; total points = 55.
Set 5: 6455: (5+10)+10+10 + (5+5+5+5); total points = 55. 4974: (5+10) + (5+5+5+5); total points = 35.
Set 6: 6455: 10 + (5+5+5); total points = 25. 4974: (5+5+5); total points = 15.
Set 7: 6455: 10+(5+15+10+10)+5 + 5 + (5+5+5); total points = 75. 4974: 10 + 5 + 5; total points = 20.
Set 8: 6455: (5+5+5+5+5) + 10 + (5+10+5)+5 + (5+10+5); total points = 80. 4974: 10 + (5+10+5) + (5+10+5); total points = 50.
Set 9: 6455: 10+(3+3+3)+(2+5+5); total points = 31. 4974: (3+3+3)+(2+5+5); total points = 21.
Set 10: 6455: (5+5+5)+(5+10); total points = 30. 4974: (5+5+5); total points = 15.
Set 11: 6455: (5+5+5) + 5 + 10 + (10+10) + 10 + (5+5) + (5+5+5) + (5+5); total points = 95. 4974: (5+5+5) + 10 + 10 + 10 + (5+5+5); total points = 60.
Set 12: 6455: (5+10) + (5+5+5) + (5+5+5+5)+(5+5+5); total points = 65. 4974: (5+5+5) + (5+5+5+5)+(5+5+5); total points = 50.
Set 13: 6456: 5+5+10+(5+10+10+5)+5 + 10+(5+10+10+10+10+10)+5; total points = 125. 4974: 5+5+10 +5 + 10+(5+10+10+10+10+10)+5; total points = 105.
Set 14: 6456 and 5974: 10+(10+5); total points = 25.
Set 15: 6456: (5+5) + (5+5)+(5+5)+(5+5+5+15); total points = 60. 5974: (5+5) + (5+5); total points = 20.
Set 16: 6456: 5+5+(5+10+10) + 10+5+5+5+10; total points = 70. 5974: 5+(5+10+10) + 10+5+5+5+10; total points = 65.
Set 17: 6456 and 5974: 10+5+5; total points = 20.
Set 18: 6456: (5+5+5+5+5+5)+(10+5+5+10) + 5+5+(5+5+5); total points = 85. 5974: (5+5+5+5+5+5) + 5+5; total points = 40.
Set 19: 6456: (15+5+5) + 10+10+10; total points = 55. 5974: (15+5+5) + 10; total points = 35.
Set 20: 6456: 10+10+5 + (5+10+5); total points = 45. 5974: 5 + (5+10); total points = 20.