| Weeks | Topics |
| 1 |
Gravitation, Strong and weak interactions, The quark model
|
| 2 |
SU(2), SU(3), SU(4), ..., Colour, QCD, Weak interactions
|
| 3 |
Relativistic notation, Klein-Gordon equation, Dirac equation
|
| 4 |
Predictions of antiparticles, Algebra of gamma matrices, Non-relativistic limit
|
| 5 |
The relevance of the Poincare group, Maxwell and Proca equations
|
| 6 |
Lagrangian formulation of particle mechanics, Variational principle and Noether’s theorem, Complex scalar fields
|
| 7 |
Topology and the vacuum, The Yang-Mills field, The geometry of gauge fields
|
| 8 |
Topology and the vacuum, The Yang-Mills field, The geometry of gauge fields
|
| 9 |
The real Klein-Gordon field, The complex Klein-Gordon field, The Dirac field
|
| 10 |
The electromagnetic field, Radiation gauge quantization, Lorenz gauge quantization, The massive vector field
|
| 11 |
Path-integral formulation of quantum mechanics
|
| 12 |
Perturbation theory and the S matrix
|
| 13 |
Functional calculus: differentiation
|
| 14 |
Further properties of path integrals
|