Relativistic Quantum Field Theory I

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Lecture 1: Classical Field Theories and Principle of Locality

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Lecture 2: Symmetries and Conservation Laws

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Lecture 3: Why Quantum Field Theory

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Lecture 4: Canonical Quantization of a Free Scalar Field Theory

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Lecture 5: Complex Scalar Field Theory and Anti-Particle

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Lecture 6: Propagators and Green Functions

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Lecture 7: Interacting Theories and S-Matrix

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Lecture 8: Path Integral Formalism for Non-Relativistic Quantum Mechanics

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Lecture 9: Path Integral Formalism for QFT; Computation of Time-Ordered Correlation Functions

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Lecture 10: Time-Ordered Correlation Functions in Field Theory

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Lecture 11: Computation of Correlation Functions in Perturbation Theory and Feynman Diagrams

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Lecture 12: More on Perturbation Theory and Feynman Diagrams

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Lecture 13: Introducing the Dirac Equation

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Lecture 14: Lorentz Covariance of the Dirac Equation

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Lecture 15: Classical Solutions of Dirac Equations

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Lecture 16: Quantization of the Dirac Theory

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Lecture 17: Chiral and Majorana Spinors

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Lecture 18: Discrete Symmetries

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Lecture 19: Path Integrals of Fermions

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Lecture 20: Maxwell Theory and its Canonical Quantization

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Lecture 21: Quantum Maxwell Theory (continued)

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Lecture 22: Quantum Electrodynamics

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Lecture 23: Cross Section and Decay Rate

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Lecture 24: Elementary Processes in QED (I)

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Lecture 25: Elementary Processes in QED (II)

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Lecture 26: Quantum Fluctuations and Renormalization