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Calendar

LEC # TOPICS
1
  • Lightning Review of the first QFT course, 8.323.
  • Path integrals in Quantum Mechanics.
2
  • Path integrals for free scalar fields.
  • Quantization of the electromagnetic field.
3
  • Grassmann variables.
  • Generating Functional.
  • Quantization of the Electromagnetic Field.
4
  • Functional methods for Spinor Fields
5
  • Symmetries in the Functional Integral 
    • Conservation laws 
    • Noether currents 
    • Ward Identity 
    • Schwinger Dyson equations
6
  • Systematics of Renormalization
7
  • Renormalization of QED
    • BPHZ Theorem
  • Spontaneous Symmetry Breaking
    • of Discrete Symmetries
8
  • Spontaneous Symmetry Breaking 
    • of Continuous Symmetries
  • Linear Sigma Model
    • Goldstone's Theorem
  • Renormalization and Symmetries
9
  • Effective Action
    • for the linear sigma model
10
  • Effective Action
    • as a generating functional for 1PI graphs
11
  • Renormalization Group
    • Wilson's approach
12
  • Renormalization Group
    • RG Flow
    • Callan Symazik Equation
13
  • Renormalization Group
    • Solutions of CS Equations
    • Running Coupling
    • IR Freedom, Asymptotic Freedom
14
  • Renormalization Group
    • Evolution of dimensionfull parameters
    • Critical Exponents
  • Non-Linear Sigma Model