Quantum Field Theory Notes

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Table of Contents

• 1. Preliminary
  • 1.1. Questions
• 2. Symmetries
  • 2.1. From Particles to Fields
    • 2.1.1. Classical Mechanics
    • 2.1.2. Generalization to Fields
    • 2.1.3. Examples of Lagrangian
    • 2.1.4. Refs and Notes
  • 2.2. Noether’s Theorem
    • 2.2.1. Noether’s Theorem of Particles
    • 2.2.2. Noether’s Theorem of Fields
    • 2.2.3. Examples of Noether Current
    • 2.2.4. References and Notes
  • 2.3. Gauge Symmetries
    • 2.3.1. U(1) Global Gauge Invariance
    • 2.3.2. U(1) Local Gauge Invariance
    • 2.3.3. Non-Abelian
  • 2.4. Symmetry Breaking
    • 2.4.1. Spontaneous Breaking of Gauge Symmetry
    • 2.4.2. Spontaneous Breaking of Local Gauge Symmetry
    • 2.4.3. References and Notes
• 3. Quantization
  • 3.1. Classical Mechanics and Quantum Mechanics
    • 3.1.1. Poisson Brackets in Classical Mechanics
  • 3.2. Klein-Gordon Field
• 4. Weak Interaction
  • 4.1. Weinberg-Salam Model
• 5. Supersymmetry
  • 5.1. Supersymmetric Quantum Mechanics
    • 5.1.1. References and Notes
• 6. References
• 7. Acknowledgement