|
週次 |
日期 |
單元主題 |
|
第1週 |
2009/09/17 |
Relativistic QM, Lorentz invariance |
|
第2週 |
2009/09/24 |
Canonical quantization of scalar fields,
Spin-Statistics Theorem,
LSZ reduction formula |
|
第3週 |
2009/10/8 |
Path Integrals in Quantum Mechanics,
Path Integrals in Quantum Field Theory |
|
第4週 |
2009/10/15 |
The path integral for interacting field theory,
Scattering amplitudes and Feynman rules,
Dimensional analysis |
|
第5週 |
2009/10/22 |
Scattering amplitudes, Feynman rules,
and cross sections.
The Lehmann-Kallen form of the exact propagator.
One-loop correction to the propagator. |
|
第6週 |
2009/10/29 |
One-loop correction to the propagator in LK form.
Loop corrections to the vertex,
Other 1PI vertices,
Higher order corrections and renormalizability,
Perturbation theory to all orders,
2-particle elastic scattering at one loop. |
|
第7週 |
2009/11/5 |
The quantum action, Continuous symmetries and conserved currents, Discrete symmetries. |
|
第9週 |
2009/11/12 |
Nonabelian symmetries, Unstable particles and resonances, Infrared divergences. |
|
第10週 |
2009/11/19 |
The renormalization group,
Spontaneous symmetry breaking,
Broken symmetry and loop corrections
|
|
第11週 |
2009/11/26 |
Spontaneous symmetry breaking,
Goldstone theorem,
Representations of the Lorentz group,
Left-handed and right-handed spinor fields |
|
第12週 |
2009/12/3 |
lagrangian for spinor fields |
|
第13週 |
2009/12/10 |
Spinor technology,
Canonical quantization of spinor fields |
|
第14週 |
2009/12/24 |
Parity, time reversal, and charge conjugation;
LSZ reduction formula for spin 1/2 fields;
The free fermion propagator;
The path integral for fermion fields. |
|
第15週 |
2009/12/31 |
Feynman rules for Dirac fields, Spin sums |
|
第16週 |
2010/01/07 |
Gamma matrix technology,
Spin-averaged cross sections,
Feynman rules for Majorana fields,
Loop corrections in Yukawa theory. |