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