Lecture Notes

LEC # TOPICS FILES
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 )

Course Info

Learning Resource Types

assignment_turned_in Problem Sets with Solutions
notes Lecture Notes