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.
Overview
Syllabus
- 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
Taught by
Prof. Hong Liu
