Course plan, first half of the semester. Please note the Monday lectures and the Quiz.

1. Tuesday 02/01/24 4:00-5:00 PM, 304. 

Classical scalar fields and their symmetries. 

2. Thursday 04/01/24 4:00-5:00 PM, 304 

More on classical scalar fields and symmetries. 

3. Monday 08/01/24 2:00-3:00 PM, 305

Classical scalar fields and symmetries: nonlinear sigma models.

4. Tuesday 09/01/24 4:00-5:00 PM, 304 

Principal chiral model, Euclidean continuation of field theory.

5. Thursday 11/01/24 4:00-5:00 PM, 304 

Fermion fields, anti-commutation, chiral symmetry.

6. Monday 15/01/24 2:00-3:00 PM, 305 

Vector fields, gauge invariance and gauge fixing.

7. Tuesday 16/01/24 4:00-5:00 PM, 304 

Yang-Mills Lagrangian, gauge invariance. 

8. Tuesday 23/01/24 4:00-5:00 PM, 304 

Yang-Mills Lagrangian: Spontaneous symmetry breaking, Higgs mechanism. 

 

Thursday 25 January: Quiz 1

9. Monday 29/01/24 2:00-3:00 PM, 305 

Path integral in quantum mechanics.

10. Tuesday 30/01/24 4:00-5:00 PM, 304 

Path integral in quantum mechanics: methods and examples.

11. Thursday 01/02/24 4:00-5:00 PM, 304 

Path integrals in quantum mechanics: imaginary time and tunneling. 

12. Monday 05/02/24 2:00-3:00 PM, 305 

Path integrals in field theory: bosons. 

13. Tuesday 06/02/24 4:00-5:00 PM, 304 

Path integrals in field theory: fermions. 

14. Thursday 08/02/24 4:00-5:00 PM, 304 

Path integrals in field theory: bosons/fermions. 

15. Tuesday 13/02/24 4:00-5:00 PM, 304 

Path integrals in field theory: gauge fields. 

16. Thursday 15/02/24 4:00-5:00 PM, 304 

Path integrals in field theory: Yang-Mills theory, Faddeev-Popov ghosts. 

Mid-semester exams: 19/02/24 – 26/02/24