Lecture 1. Classical Fields and Symmetries

Lecture 2. Tensor Fields, Euler-Lagrange Equations, Lorentz Transformations

Lecture 3. Lorentz and Poincare Groups, Noether's Theorem

Lecture 4. Applications of Noether's Theorem. Conservation Laws and Symmetries

Lecture 5. Conserved Charges as Symmetry Generators. Klein–Gordon Field. Mass-Shell Condition

Lecture 6. More on Klein–Gordon Equation. Canonical Quantization

Lecture 7. Second Quantization. Commutation and Green's Functions, Pauli–Jordan Function

Lecture 8. Retarded and Advanced Green's Functions. Feynman Propagator. Yukawa Force

Lecture 9. Yukawa Force. Dirac Equation

Lecture 10. The Dirac Equation and Lorentz Transformations

Lecture 11. Lorentz Boosts, Parity

Lecture 12. Time Reversal, Weyl Spinors and Weyl Equations