週次 |
日期 |
單元主題 |
第3週 |
3/12 |
First class; Roadmap of this class; Renormalization and gauge invariance; cutting off our ignorance; field theory blowing up; parametrization of ignorance |
第4週 |
3/19 |
Evaluating Feynman diagrams; What's actually measured?; Renormalizable versus nonrenormalizable |
第5週 |
3/26 |
Counterterms and physical perturbation theory; renormalizability; bare versus physical perturbation theory; degree of divergence; renormalizable field theories |
第6週 |
4/02 |
Holiday |
第7週 |
4/09 |
the magnetic moment of the electron; Dirac's triumph; the anomalous magnetic moment; polarizing the vacuum and renormalizing the charge; respect for gauge symmetry |
第8週 |
4/16 |
renormalization group flow as a natural concept in high energy and condensed matter physics; beta function; relevant, irrelevant and marginal |
第9週 |
4/23 |
chiral anomaly; classical versus quantum symmetry |
第10週 |
4/30 |
consequences of the anomaly |
第11週 |
5/07 |
Field theory without relativity; field theory and collective phenomena; super fluids |
第12週 |
5/14 |
Euclid, Boltzmann, Hawking, and field theory at finite temperature |
第13週 |
5/21 |
Landau-Ginzburg theory of critical phenomena; the emergence of nonanalyticity; Super conductivity; pairing and condensation; Meissner effect |
第14週 |
5/28 |
solitons; breaking the shackles of Feynman diagrams |
第15週 |
6/04 |
vortices, monopoles and instantons |
第16週 |
6/11 |
fractional statistics, Chern-Simons term and topological field theory |
第17週 |
6/18 |
quantum Hall fluids, integer and fractional quantum Hall effects; duality
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