Relativistic Quantum Field Theory I

Classical fields to canonical quantisation, path integrals and QED.

Syllabus

  1. Lectures

    1. Lecture 1: Classical Field Theories and Principle of Locality
    2. Lecture 2: Symmetries and Conservation Laws
    3. Lecture 3: Why Quantum Field Theory
    4. Lecture 4: Canonical Quantization of a Free Scalar Field Theory
    5. Lecture 5: Complex Scalar Field Theory and Anti-Particle
    6. Lecture 6: Propagators and Green Functions
    7. Lecture 7: Interacting Theories and S-Matrix
    8. Lecture 8: Path Integral Formalism for Non-Relativistic Quantum Mechanics
    9. Lecture 9: Path Integral Formalism for QFT; Computation of Time-Ordered Correlation Functions
    10. Lecture 10: Time-Ordered Correlation Functions in Field Theory
    11. Lecture 11: Computation of Correlation Functions in Perturbation Theory and Feynman Diagrams
    12. Lecture 12: More on Perturbation Theory and Feynman Diagrams
    13. Lecture 13: Introducing the Dirac Equation
    14. Lecture 14: Lorentz Covariance of the Dirac Equation
    15. Lecture 15: Classical Solutions of Dirac Equations
    16. Lecture 16: Quantization of the Dirac Theory
    17. Lecture 17: Chiral and Majorana Spinors
    18. Lecture 18: Discrete Symmetries
    19. Lecture 19: Path Integrals of Fermions
    20. Lecture 20: Maxwell Theory and its Canonical Quantization
    21. Lecture 21: Quantum Maxwell Theory (continued)
    22. Lecture 22: Quantum Electrodynamics
    23. Lecture 23: Cross Section and Decay Rate
    24. Lecture 24: Elementary Processes in QED (I)
    25. Lecture 25: Elementary Processes in QED (II)
    26. Lecture 26: Quantum Fluctuations and Renormalization