Lecture Notes

Non-Abelian Gauge Theories
1 Symmetries, Lie Groups and Lie Algebras (PDF)
2 The Gauge Principle (Quantum Electrodynamics Revisited) (PDF)
3 Non-Abelian Generalizations: Yang-Mills Theory (PDF)
4 Non-Abelian Generalizations: Yang-Mills Theory (cont.) (PDF)
5 Quantization of Non-Abelian Gauge Theories (PDF)
6 Becchi-Rouet-Stora-Tyutin (BRST) Symmetry, Physical States and Unitarity (PDF)
General Aspects
7 Field and Mass Renormalizations (PDF)
8 An Explicit Example (PDF)
9 Removing Ultraviolet Divergences (PDF)
10 Unstable Particles and Resonances (PDF)
11 S-Matrix Elements and LSZ Reduction (PDF)
General Aspects of QED
12 Renormalized Lagrangian (PDF)
13 Renormalized Lagrangian (cont.) (PDF)
14 Vertex Function (PDF)
15 Anomalous Magnetic Moment (PDF)
16 Vacuum Polarization (PDF)
General Renormalization Theory
17 Degrees of Divergences (PDF)
18 Cancellation of Divergences (PDF)
19 Cancellation of Divergences (cont.) (PDF)
Renormalization Group
20 Wilson’s Approach to Field Theories (PDF)
21 Renormalization Group Flow (PDF)
22 Renormalization Group Flow (cont.) (PDF)
23 Renormalization Group Flow (cont.); Beta-Functions from the Traditional Approach (PDF)
24 Beta-Functions from the Traditional Approach (cont.) (PDF)
25 Beta-Functions from the Traditional Approach (cont.) (PDF)
26 Beta-Functions from the Traditional Approach (cont.) (PDF)

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