|
週次 |
日期 |
單元主題 |
|
第1週 |
2010/09/30 |
Relativistic QM, Lorentz invariance |
|
第2週 |
2010/10/07 |
Canonical quantization of scalar fields,
Spin-Statistics Theorem,
LSZ reduction formula |
|
第3週 |
2010/10/14 |
Path Integrals in Quantum Mechanics,
Path Integrals in Quantum Field Theory |
|
第4週 |
2010/10/21 |
The path integral for interacting field theory,
Scattering amplitudes and Feynman rules,
Dimensional analysis |
|
第5週 |
2010/10/28 |
Scattering amplitudes, Feynman rules,
and cross sections.
The Lehmann-Kallen form of the exact propagator. |
|
第6週 |
2010/11/04 |
Loop correction to the propagator.
One-loop correction to the propagator in LK form.
Loop corrections to the vertex.
Other 1PI vertices.
Higher order corrections and renormalizability.
|
|
第7週 |
2010/11/11 |
Perturbation theory to all orders,
2-particle elastic scattering at one loop.The quantum action, Continuous symmetries and conserved currents. |
|
第8週 |
2010/11/18 |
Discrete symmetries.
Nonabelian symmetries.
Unstable particles and resonances. |
|
第9週 |
2010/11/25 |
Infrared divergence.
Modified mimimal subtraction.
The renormalization group.
|
|
第10週 |
2010/12/02 |
Spontaneous symmetry breaking, Broken symmetry and loop corrections.
Spontaneous symmetry breaking,
Goldstone theorem,
Representations of the Lorentz group.
|
|
第11週 |
2010/12/09 |
Left-handed and right-handed spinor fields.
Lagrangian for spinor fields. |
|
第12週 |
2010/12/16 |
Spinor technology,
Canonical quantization of spinor fields |
|
第13週 |
2010/12/30 |
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14週 |
2011/01/07 |
Feynman rules for Dirac fields, Spin sums |
|
第15週 |
2011/01/13 |
Gamma matrix technology,
Spin-averaged cross sections,
Feynman rules for Majorana fields,
Loop corrections in Yukawa theory. |