Principles of QFT (принципы КТП)
https://itmp.msu.ru/en/mscgeom...
Quantum field theories emerged from the confluence of quantum mechanics and special relativity, and provide an amazingly accurate theoretical framework for describing the behaviour of subatomic particles and forces. The course introduces students to the basic concepts and techniques of quantum field theory along with the key examples of physically relevant models. In particular, canonical and covariant quantization methods are introduced and illustrated on the examples of bosonic, fermionic, and electromagnetic fields. Topics covered also include perturbation theory and Feynman diagrams, basics of scattering theory, quantum electrodynamics, Green functions, etc. This course is a necessary prerequisite for nearly all other field theory courses of the program.
- 01:38:28Lecture 1. Classical Fields and Symmetries
- 01:47:47Lecture 2. Tensor Fields, Euler-Lagrange Equations, Lorentz Transformations
- 01:48:56Lecture 3. Lorentz and Poincare Groups, Noether's Theorem
- 01:48:10Lecture 4. Applications of Noether's Theorem. Conservation Laws and Symmetries
- 01:58:07Lecture 5. Conserved Charges as Symmetry Generators. Klein–Gordon Field. Mass-Shell Condition
- 01:52:24Lecture 6. More on Klein–Gordon Equation. Canonical Quantization
- 01:43:10Lecture 7. Second Quantization. Commutation and Green's Functions, Pauli–Jordan Function
- 01:38:34Lecture 8. Retarded and Advanced Green's Functions. Feynman Propagator. Yukawa Force
- 01:41:19Lecture 9. Yukawa Force. Dirac Equation
- 01:51:01Lecture 10. The Dirac Equation and Lorentz Transformations
- 01:44:29Lecture 11. Lorentz Boosts, Parity
- 02:20:05Lecture 12. Time Reversal, Weyl Spinors and Weyl Equations
- 02:20:08Lecture 13. Solution of the Dirac Equation
- 01:55:41Lecture 14. Charge Conjugation and Anti-Particles