量子場論(三)
Quantum Field Theory (III)
| 節 | 週二 |
|---|---|
3 10:10–11:00 | 量子場論(三) 3 節連堂 |
4 11:10–12:00 | |
N 12:20–13:10 |
* 根據陽明交大上課時間表所列
將介紹規範場包含其量子化再重整化以及其它相關議題 目標: 使學生具備處理規範場之能力從事各領域前沿研究
修過量子場論(一)(二)或能利用路徑積分公式處理自旋0與1/2場之量子化導出其Feynman rules者
無備註
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出席50% 作業 50%
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | (A) Introduction to Chiral Gauge Theories
 (B) Euclidean Solutions
 (C) Wilson Loop
 2025-02-18(二) |
| 第 2 週 | (A) Hamiltonian Formalism of constrained system
 (B) Hamiltonian Formalism of Abelian Gauge theories
 (C) Hamiltonian Formalism of Non-Abelian Gauge theories 
 2025-02-25(二) |
| 第 3 週 | (A) Faddeev-Popov Gauge fixing 
 (B) Equivalence between different gauges
 (C) Feynman rules of gauge theories
 2025-03-04(二) |
| 第 4 週 | Renormalization of gauge Theories (I): One-loop diagrams 
 (A) Vacuum Polarization 
 (B) Fermion self-energy
 (C) Vertex correction 
 2025-03-11(二) |
| 第 5 週 | Renormalization of gauge Theories (II): RGE and EA of gauge theories
 (A) RG equation of Gauge Theories
 (B) Background Field Method
 (C) Effective action of gauge theories
 2025-03-18(二) |
| 第 6 週 | Renormalization of gauge Theories (III): IR divergence and BPHZ method
 (A) IR divergence 
 (B) BPHZ method
 (C) Application of BPHZ method
 2025-03-25(二) |
| 第 7 週 | Application of QED
 (A) Anomalous magnetic moment g-2
 (B) Lamb shift of hydrogen
 (C) Lamb shift of muon-hydrogen
 2025-04-01(二) |
| 第 8 週 | Symmetry and renormalization 
 (A) Ward-Takahashi identity
 (B) BRST transformation
 (C) Slavnov-Taylor identity
 2025-04-08(二) |
| 第 9 週 | (A) Gribov ambiguity
 (B) Gribov-Zwanzinger action
 (C) Refined Gribov-Zwanzinger action
 2025-04-15(二) |
| 第 10 週 | Chiral Anomaly (I)
 (A) Chiral anomaly in 2D QED
 (B) Triangle diagrams: Dimension regularization
 (C) Triangle diagrams: Dimension regularization
 2025-04-22(二) |
| 第 11 週 | Chiral Anomaly (II)
 (A) Fujikawa approach: Cut-off regulator
 (B) Fujikawa approach: Zeta regularization
 (C) Chiral anomaly and index theorem
 2025-04-29(二) |
| 第 12 週 | More about anomaly
 (A) Anomaly in chiral gauge theory
 (B) Wess-Zumino consistency condition
 (C) Trace anomaly
 2025-05-06(二) |
| 第 13 週 | Soliton and vortex
 (A) One dimension soliton
 (B) Derrick’s theorem
 (C) Vortics
 2025-05-13(二) |
| 第 14 週 | Monopole
 (A) Magnetic monopole
 (B) Homotopy group
 (C) ‘tHooft-Polyakov monopole
 2025-05-20(二) |
| 第 15 週 | Chern-Simons Theories
 (A) Introduction to Chern-Simons Theories
 (B) Canonical quantization of Chern-Simon Theories
 (C) Chern-Simons Vortices
 2025-05-27(二) |
| 第 16 週 | Instantons
 (A) Classical Yang-Mills instantons
 (B) WKB tunneling
 (C) Fermion on the instanton background
 2025-06-03(二) |
教授整理之筆記
- 地點
- 辦公室
- 時間
- 星期二下午一到三點
- 聯絡方式
- e-mail: cwkao@cycu.edu.tw