Relativistic Quantum Field Theory I

This course is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics and condensed matter physics.

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